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Finding the Fourth Proportional to 9,160.93, 13,714.05 and 9,004.20

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Solution

The fourth proportional to 9,160.93, 13,714.05 and 9,004.20 is: 13,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.93 : 13,714.05 = 9,004.20 : x
  2. Step 2: Convert to fraction form
    9,160.93/13,714.05 = 9,004.20/x
  3. Step 3: Cross multiply
    9,160.93x = 13,714.05 × 9,004.20
  4. Step 4: Simplify right side
    9,160.93x = 123,484,049.01
  5. Step 5: Solve for x
    x = 123,484,049.01/9,160.93
  6. Step 6: Final answer
    x = 13,479.42

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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.