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Finding the Fourth Proportional to 6,593.47, 9,897.93 and 5,207.76

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Solution

The fourth proportional to 6,593.47, 9,897.93 and 5,207.76 is: 7,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.47 : 9,897.93 = 5,207.76 : x
  2. Step 2: Convert to fraction form
    6,593.47/9,897.93 = 5,207.76/x
  3. Step 3: Cross multiply
    6,593.47x = 9,897.93 × 5,207.76
  4. Step 4: Simplify right side
    6,593.47x = 51,546,043.94
  5. Step 5: Solve for x
    x = 51,546,043.94/6,593.47
  6. Step 6: Final answer
    x = 7,817.74

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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.