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Finding the Fourth Proportional to 7,073, 10,534.79 and 6,702.92

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Solution

The fourth proportional to 7,073, 10,534.79 and 6,702.92 is: 9,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073 : 10,534.79 = 6,702.92 : x
  2. Step 2: Convert to fraction form
    7,073/10,534.79 = 6,702.92/x
  3. Step 3: Cross multiply
    7,073x = 10,534.79 × 6,702.92
  4. Step 4: Simplify right side
    7,073x = 70,613,854.59
  5. Step 5: Solve for x
    x = 70,613,854.59/7,073
  6. Step 6: Final answer
    x = 9,983.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.