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Finding the Fourth Proportional to 9,708.53, 14,543.64 and 9,025.08

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Solution

The fourth proportional to 9,708.53, 14,543.64 and 9,025.08 is: 13,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.53 : 14,543.64 = 9,025.08 : x
  2. Step 2: Convert to fraction form
    9,708.53/14,543.64 = 9,025.08/x
  3. Step 3: Cross multiply
    9,708.53x = 14,543.64 × 9,025.08
  4. Step 4: Simplify right side
    9,708.53x = 131,257,514.49
  5. Step 5: Solve for x
    x = 131,257,514.49/9,708.53
  6. Step 6: Final answer
    x = 13,519.82

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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.