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Finding the Fourth Proportional to 15,528.17, 21,429 and 8,454.57

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Solution

The fourth proportional to 15,528.17, 21,429 and 8,454.57 is: 11,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.17 : 21,429 = 8,454.57 : x
  2. Step 2: Convert to fraction form
    15,528.17/21,429 = 8,454.57/x
  3. Step 3: Cross multiply
    15,528.17x = 21,429 × 8,454.57
  4. Step 4: Simplify right side
    15,528.17x = 181,172,980.53
  5. Step 5: Solve for x
    x = 181,172,980.53/15,528.17
  6. Step 6: Final answer
    x = 11,667.38

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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.