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Finding the Fourth Proportional to 7,092.16, 9,779.52 and 6,930.88

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Solution

The fourth proportional to 7,092.16, 9,779.52 and 6,930.88 is: 9,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.16 : 9,779.52 = 6,930.88 : x
  2. Step 2: Convert to fraction form
    7,092.16/9,779.52 = 6,930.88/x
  3. Step 3: Cross multiply
    7,092.16x = 9,779.52 × 6,930.88
  4. Step 4: Simplify right side
    7,092.16x = 67,780,679.58
  5. Step 5: Solve for x
    x = 67,780,679.58/7,092.16
  6. Step 6: Final answer
    x = 9,557.13

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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.