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Finding the Fourth Proportional to 9,598.14, 13,233.51 and 7,926.30

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Solution

The fourth proportional to 9,598.14, 13,233.51 and 7,926.30 is: 10,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.14 : 13,233.51 = 7,926.30 : x
  2. Step 2: Convert to fraction form
    9,598.14/13,233.51 = 7,926.30/x
  3. Step 3: Cross multiply
    9,598.14x = 13,233.51 × 7,926.30
  4. Step 4: Simplify right side
    9,598.14x = 104,892,770.31
  5. Step 5: Solve for x
    x = 104,892,770.31/9,598.14
  6. Step 6: Final answer
    x = 10,928.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.