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Finding the Fourth Proportional to 10,064.53, 15,099.17 and 9,897.18

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Solution

The fourth proportional to 10,064.53, 15,099.17 and 9,897.18 is: 14,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.53 : 15,099.17 = 9,897.18 : x
  2. Step 2: Convert to fraction form
    10,064.53/15,099.17 = 9,897.18/x
  3. Step 3: Cross multiply
    10,064.53x = 15,099.17 × 9,897.18
  4. Step 4: Simplify right side
    10,064.53x = 149,439,078.36
  5. Step 5: Solve for x
    x = 149,439,078.36/10,064.53
  6. Step 6: Final answer
    x = 14,848.09

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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.