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Finding the Fourth Proportional to 19,751.16, 29,614.90 and 9,064.12

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Solution

The fourth proportional to 19,751.16, 29,614.90 and 9,064.12 is: 13,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.16 : 29,614.90 = 9,064.12 : x
  2. Step 2: Convert to fraction form
    19,751.16/29,614.90 = 9,064.12/x
  3. Step 3: Cross multiply
    19,751.16x = 29,614.90 × 9,064.12
  4. Step 4: Simplify right side
    19,751.16x = 268,432,983.21
  5. Step 5: Solve for x
    x = 268,432,983.21/19,751.16
  6. Step 6: Final answer
    x = 13,590.75

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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.