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Finding the Fourth Proportional to 7,154.42, 9,866.18 and 5,029.28

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Solution

The fourth proportional to 7,154.42, 9,866.18 and 5,029.28 is: 6,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.42 : 9,866.18 = 5,029.28 : x
  2. Step 2: Convert to fraction form
    7,154.42/9,866.18 = 5,029.28/x
  3. Step 3: Cross multiply
    7,154.42x = 9,866.18 × 5,029.28
  4. Step 4: Simplify right side
    7,154.42x = 49,619,781.75
  5. Step 5: Solve for x
    x = 49,619,781.75/7,154.42
  6. Step 6: Final answer
    x = 6,935.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.