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Finding the Fourth Proportional to 6,930.86, 9,569.61 and 6,493.46

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Solution

The fourth proportional to 6,930.86, 9,569.61 and 6,493.46 is: 8,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.86 : 9,569.61 = 6,493.46 : x
  2. Step 2: Convert to fraction form
    6,930.86/9,569.61 = 6,493.46/x
  3. Step 3: Cross multiply
    6,930.86x = 9,569.61 × 6,493.46
  4. Step 4: Simplify right side
    6,930.86x = 62,139,831.90
  5. Step 5: Solve for x
    x = 62,139,831.90/6,930.86
  6. Step 6: Final answer
    x = 8,965.68

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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.