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Finding the Fourth Proportional to 9,034.74, 13,543.02 and 4,347.90

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Solution

The fourth proportional to 9,034.74, 13,543.02 and 4,347.90 is: 6,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.74 : 13,543.02 = 4,347.90 : x
  2. Step 2: Convert to fraction form
    9,034.74/13,543.02 = 4,347.90/x
  3. Step 3: Cross multiply
    9,034.74x = 13,543.02 × 4,347.90
  4. Step 4: Simplify right side
    9,034.74x = 58,883,696.66
  5. Step 5: Solve for x
    x = 58,883,696.66/9,034.74
  6. Step 6: Final answer
    x = 6,517.48

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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.