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Finding the Fourth Proportional to 9,687.52, 13,364.80 and 7,029.04

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Solution

The fourth proportional to 9,687.52, 13,364.80 and 7,029.04 is: 9,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.52 : 13,364.80 = 7,029.04 : x
  2. Step 2: Convert to fraction form
    9,687.52/13,364.80 = 7,029.04/x
  3. Step 3: Cross multiply
    9,687.52x = 13,364.80 × 7,029.04
  4. Step 4: Simplify right side
    9,687.52x = 93,941,713.79
  5. Step 5: Solve for x
    x = 93,941,713.79/9,687.52
  6. Step 6: Final answer
    x = 9,697.19

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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.