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Finding the Fourth Proportional to 6,591.61, 9,897.66 and 5,347.07

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Solution

The fourth proportional to 6,591.61, 9,897.66 and 5,347.07 is: 8,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.61 : 9,897.66 = 5,347.07 : x
  2. Step 2: Convert to fraction form
    6,591.61/9,897.66 = 5,347.07/x
  3. Step 3: Cross multiply
    6,591.61x = 9,897.66 × 5,347.07
  4. Step 4: Simplify right side
    6,591.61x = 52,923,480.86
  5. Step 5: Solve for x
    x = 52,923,480.86/6,591.61
  6. Step 6: Final answer
    x = 8,028.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.