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Finding the Fourth Proportional to 9,654.84, 13,318.92 and 7,526.52

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Solution

The fourth proportional to 9,654.84, 13,318.92 and 7,526.52 is: 10,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.84 : 13,318.92 = 7,526.52 : x
  2. Step 2: Convert to fraction form
    9,654.84/13,318.92 = 7,526.52/x
  3. Step 3: Cross multiply
    9,654.84x = 13,318.92 × 7,526.52
  4. Step 4: Simplify right side
    9,654.84x = 100,245,117.76
  5. Step 5: Solve for x
    x = 100,245,117.76/9,654.84
  6. Step 6: Final answer
    x = 10,382.89

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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.