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Finding the Fourth Proportional to 9,925.52, 14,905.56 and 6,849.68

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Solution

The fourth proportional to 9,925.52, 14,905.56 and 6,849.68 is: 10,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.52 : 14,905.56 = 6,849.68 : x
  2. Step 2: Convert to fraction form
    9,925.52/14,905.56 = 6,849.68/x
  3. Step 3: Cross multiply
    9,925.52x = 14,905.56 × 6,849.68
  4. Step 4: Simplify right side
    9,925.52x = 102,098,316.22
  5. Step 5: Solve for x
    x = 102,098,316.22/9,925.52
  6. Step 6: Final answer
    x = 10,286.45

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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.