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Finding the Fourth Proportional to 6,910.86, 9,535.80 and 6,560.58

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Solution

The fourth proportional to 6,910.86, 9,535.80 and 6,560.58 is: 9,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.86 : 9,535.80 = 6,560.58 : x
  2. Step 2: Convert to fraction form
    6,910.86/9,535.80 = 6,560.58/x
  3. Step 3: Cross multiply
    6,910.86x = 9,535.80 × 6,560.58
  4. Step 4: Simplify right side
    6,910.86x = 62,560,378.76
  5. Step 5: Solve for x
    x = 62,560,378.76/6,910.86
  6. Step 6: Final answer
    x = 9,052.47

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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.