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Finding the Fourth Proportional to 15,815.25, 21,825.05 and 9,528.93

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Solution

The fourth proportional to 15,815.25, 21,825.05 and 9,528.93 is: 13,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.25 : 21,825.05 = 9,528.93 : x
  2. Step 2: Convert to fraction form
    15,815.25/21,825.05 = 9,528.93/x
  3. Step 3: Cross multiply
    15,815.25x = 21,825.05 × 9,528.93
  4. Step 4: Simplify right side
    15,815.25x = 207,969,326.05
  5. Step 5: Solve for x
    x = 207,969,326.05/15,815.25
  6. Step 6: Final answer
    x = 13,149.92

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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.