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Finding the Fourth Proportional to 10,597.40, 15,896.10 and 8,869.40

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Solution

The fourth proportional to 10,597.40, 15,896.10 and 8,869.40 is: 13,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.40 : 15,896.10 = 8,869.40 : x
  2. Step 2: Convert to fraction form
    10,597.40/15,896.10 = 8,869.40/x
  3. Step 3: Cross multiply
    10,597.40x = 15,896.10 × 8,869.40
  4. Step 4: Simplify right side
    10,597.40x = 140,988,869.34
  5. Step 5: Solve for x
    x = 140,988,869.34/10,597.40
  6. Step 6: Final answer
    x = 13,304.10

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.