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Finding the Fourth Proportional to 9,851.14, 14,774.82 and 6,335.61

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Solution

The fourth proportional to 9,851.14, 14,774.82 and 6,335.61 is: 9,502.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.14 : 14,774.82 = 6,335.61 : x
  2. Step 2: Convert to fraction form
    9,851.14/14,774.82 = 6,335.61/x
  3. Step 3: Cross multiply
    9,851.14x = 14,774.82 × 6,335.61
  4. Step 4: Simplify right side
    9,851.14x = 93,607,497.34
  5. Step 5: Solve for x
    x = 93,607,497.34/9,851.14
  6. Step 6: Final answer
    x = 9,502.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.