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Finding the Fourth Proportional to 9,652.97, 13,323.17 and 6,289.76

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Solution

The fourth proportional to 9,652.97, 13,323.17 and 6,289.76 is: 8,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.97 : 13,323.17 = 6,289.76 : x
  2. Step 2: Convert to fraction form
    9,652.97/13,323.17 = 6,289.76/x
  3. Step 3: Cross multiply
    9,652.97x = 13,323.17 × 6,289.76
  4. Step 4: Simplify right side
    9,652.97x = 83,799,541.74
  5. Step 5: Solve for x
    x = 83,799,541.74/9,652.97
  6. Step 6: Final answer
    x = 8,681.22

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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.