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Finding the Fourth Proportional to 10,909.68, 15,055.68 and 6,194.16

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Solution

The fourth proportional to 10,909.68, 15,055.68 and 6,194.16 is: 8,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.68 : 15,055.68 = 6,194.16 : x
  2. Step 2: Convert to fraction form
    10,909.68/15,055.68 = 6,194.16/x
  3. Step 3: Cross multiply
    10,909.68x = 15,055.68 × 6,194.16
  4. Step 4: Simplify right side
    10,909.68x = 93,257,290.83
  5. Step 5: Solve for x
    x = 93,257,290.83/10,909.68
  6. Step 6: Final answer
    x = 8,548.12

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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.