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Finding the Fourth Proportional to 10,987.40, 16,448.70 and 9,691.40

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Solution

The fourth proportional to 10,987.40, 16,448.70 and 9,691.40 is: 14,508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.40 : 16,448.70 = 9,691.40 : x
  2. Step 2: Convert to fraction form
    10,987.40/16,448.70 = 9,691.40/x
  3. Step 3: Cross multiply
    10,987.40x = 16,448.70 × 9,691.40
  4. Step 4: Simplify right side
    10,987.40x = 159,410,931.18
  5. Step 5: Solve for x
    x = 159,410,931.18/10,987.40
  6. Step 6: Final answer
    x = 14,508.52

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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.