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Finding the Fourth Proportional to 9,850.30, 13,598.44 and 7,607.14

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Solution

The fourth proportional to 9,850.30, 13,598.44 and 7,607.14 is: 10,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.30 : 13,598.44 = 7,607.14 : x
  2. Step 2: Convert to fraction form
    9,850.30/13,598.44 = 7,607.14/x
  3. Step 3: Cross multiply
    9,850.30x = 13,598.44 × 7,607.14
  4. Step 4: Simplify right side
    9,850.30x = 103,445,236.86
  5. Step 5: Solve for x
    x = 103,445,236.86/9,850.30
  6. Step 6: Final answer
    x = 10,501.73

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Half scale
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Double scale
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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.