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Finding the Fourth Proportional to 6,588.90, 9,798.56 and 6,381.24

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Solution

The fourth proportional to 6,588.90, 9,798.56 and 6,381.24 is: 9,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.90 : 9,798.56 = 6,381.24 : x
  2. Step 2: Convert to fraction form
    6,588.90/9,798.56 = 6,381.24/x
  3. Step 3: Cross multiply
    6,588.90x = 9,798.56 × 6,381.24
  4. Step 4: Simplify right side
    6,588.90x = 62,526,931.11
  5. Step 5: Solve for x
    x = 62,526,931.11/6,588.90
  6. Step 6: Final answer
    x = 9,489.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.