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Finding the Fourth Proportional to 7,141.53, 9,854.15 and 4,487.06

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Solution

The fourth proportional to 7,141.53, 9,854.15 and 4,487.06 is: 6,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.53 : 9,854.15 = 4,487.06 : x
  2. Step 2: Convert to fraction form
    7,141.53/9,854.15 = 4,487.06/x
  3. Step 3: Cross multiply
    7,141.53x = 9,854.15 × 4,487.06
  4. Step 4: Simplify right side
    7,141.53x = 44,216,164.50
  5. Step 5: Solve for x
    x = 44,216,164.50/7,141.53
  6. Step 6: Final answer
    x = 6,191.41

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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.