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Finding the Fourth Proportional to 9,471.68, 13,077.88 and 6,116.46

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Solution

The fourth proportional to 9,471.68, 13,077.88 and 6,116.46 is: 8,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.68 : 13,077.88 = 6,116.46 : x
  2. Step 2: Convert to fraction form
    9,471.68/13,077.88 = 6,116.46/x
  3. Step 3: Cross multiply
    9,471.68x = 13,077.88 × 6,116.46
  4. Step 4: Simplify right side
    9,471.68x = 79,990,329.90
  5. Step 5: Solve for x
    x = 79,990,329.90/9,471.68
  6. Step 6: Final answer
    x = 8,445.21

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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.