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Finding the Fourth Proportional to 15,567.44, 21,482.56 and 8,494

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Solution

The fourth proportional to 15,567.44, 21,482.56 and 8,494 is: 11,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.44 : 21,482.56 = 8,494 : x
  2. Step 2: Convert to fraction form
    15,567.44/21,482.56 = 8,494/x
  3. Step 3: Cross multiply
    15,567.44x = 21,482.56 × 8,494
  4. Step 4: Simplify right side
    15,567.44x = 182,472,864.64
  5. Step 5: Solve for x
    x = 182,472,864.64/15,567.44
  6. Step 6: Final answer
    x = 11,721.44

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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.