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Finding the Fourth Proportional to 28,506.16, 42,759.24 and 7,729.66

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Solution

The fourth proportional to 28,506.16, 42,759.24 and 7,729.66 is: 11,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,506.16 : 42,759.24 = 7,729.66 : x
  2. Step 2: Convert to fraction form
    28,506.16/42,759.24 = 7,729.66/x
  3. Step 3: Cross multiply
    28,506.16x = 42,759.24 × 7,729.66
  4. Step 4: Simplify right side
    28,506.16x = 330,514,387.06
  5. Step 5: Solve for x
    x = 330,514,387.06/28,506.16
  6. Step 6: Final answer
    x = 11,594.49

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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.