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Finding the Fourth Proportional to 10,557.84, 14,570.28 and 6,366

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Solution

The fourth proportional to 10,557.84, 14,570.28 and 6,366 is: 8,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.84 : 14,570.28 = 6,366 : x
  2. Step 2: Convert to fraction form
    10,557.84/14,570.28 = 6,366/x
  3. Step 3: Cross multiply
    10,557.84x = 14,570.28 × 6,366
  4. Step 4: Simplify right side
    10,557.84x = 92,754,402.48
  5. Step 5: Solve for x
    x = 92,754,402.48/10,557.84
  6. Step 6: Final answer
    x = 8,785.36

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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.