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Finding the Fourth Proportional to 9,672.80, 14,575.10 and 7,956.26

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Solution

The fourth proportional to 9,672.80, 14,575.10 and 7,956.26 is: 11,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.80 : 14,575.10 = 7,956.26 : x
  2. Step 2: Convert to fraction form
    9,672.80/14,575.10 = 7,956.26/x
  3. Step 3: Cross multiply
    9,672.80x = 14,575.10 × 7,956.26
  4. Step 4: Simplify right side
    9,672.80x = 115,963,285.13
  5. Step 5: Solve for x
    x = 115,963,285.13/9,672.80
  6. Step 6: Final answer
    x = 11,988.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.