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Finding the Fourth Proportional to 10,839.40, 16,259.10 and 5,655.40

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Solution

The fourth proportional to 10,839.40, 16,259.10 and 5,655.40 is: 8,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.40 : 16,259.10 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    10,839.40/16,259.10 = 5,655.40/x
  3. Step 3: Cross multiply
    10,839.40x = 16,259.10 × 5,655.40
  4. Step 4: Simplify right side
    10,839.40x = 91,951,714.14
  5. Step 5: Solve for x
    x = 91,951,714.14/10,839.40
  6. Step 6: Final answer
    x = 8,483.10

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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.