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Finding the Fourth Proportional to 9,597.14, 13,232.13 and 7,925.30

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Solution

The fourth proportional to 9,597.14, 13,232.13 and 7,925.30 is: 10,927.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.14 : 13,232.13 = 7,925.30 : x
  2. Step 2: Convert to fraction form
    9,597.14/13,232.13 = 7,925.30/x
  3. Step 3: Cross multiply
    9,597.14x = 13,232.13 × 7,925.30
  4. Step 4: Simplify right side
    9,597.14x = 104,868,599.89
  5. Step 5: Solve for x
    x = 104,868,599.89/9,597.14
  6. Step 6: Final answer
    x = 10,927.07

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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.