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Finding the Fourth Proportional to 7,473.76, 10,315.02 and 5,702.02

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Solution

The fourth proportional to 7,473.76, 10,315.02 and 5,702.02 is: 7,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.76 : 10,315.02 = 5,702.02 : x
  2. Step 2: Convert to fraction form
    7,473.76/10,315.02 = 5,702.02/x
  3. Step 3: Cross multiply
    7,473.76x = 10,315.02 × 5,702.02
  4. Step 4: Simplify right side
    7,473.76x = 58,816,450.34
  5. Step 5: Solve for x
    x = 58,816,450.34/7,473.76
  6. Step 6: Final answer
    x = 7,869.73

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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.