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Finding the Fourth Proportional to 16,291.16, 24,439.79 and 7,407.14

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Solution

The fourth proportional to 16,291.16, 24,439.79 and 7,407.14 is: 11,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.16 : 24,439.79 = 7,407.14 : x
  2. Step 2: Convert to fraction form
    16,291.16/24,439.79 = 7,407.14/x
  3. Step 3: Cross multiply
    16,291.16x = 24,439.79 × 7,407.14
  4. Step 4: Simplify right side
    16,291.16x = 181,028,946.10
  5. Step 5: Solve for x
    x = 181,028,946.10/16,291.16
  6. Step 6: Final answer
    x = 11,112.10

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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.