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Finding the Fourth Proportional to 7,142.74, 9,854.22 and 4,158.10

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Solution

The fourth proportional to 7,142.74, 9,854.22 and 4,158.10 is: 5,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.74 : 9,854.22 = 4,158.10 : x
  2. Step 2: Convert to fraction form
    7,142.74/9,854.22 = 4,158.10/x
  3. Step 3: Cross multiply
    7,142.74x = 9,854.22 × 4,158.10
  4. Step 4: Simplify right side
    7,142.74x = 40,974,832.18
  5. Step 5: Solve for x
    x = 40,974,832.18/7,142.74
  6. Step 6: Final answer
    x = 5,736.57

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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.