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Finding the Fourth Proportional to 10,754.84, 14,842.58 and 6,278.88

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Solution

The fourth proportional to 10,754.84, 14,842.58 and 6,278.88 is: 8,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.84 : 14,842.58 = 6,278.88 : x
  2. Step 2: Convert to fraction form
    10,754.84/14,842.58 = 6,278.88/x
  3. Step 3: Cross multiply
    10,754.84x = 14,842.58 × 6,278.88
  4. Step 4: Simplify right side
    10,754.84x = 93,194,778.71
  5. Step 5: Solve for x
    x = 93,194,778.71/10,754.84
  6. Step 6: Final answer
    x = 8,665.38

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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.