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Finding the Fourth Proportional to 9,747.84, 14,551.68 and 9,026.88

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Solution

The fourth proportional to 9,747.84, 14,551.68 and 9,026.88 is: 13,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.84 : 14,551.68 = 9,026.88 : x
  2. Step 2: Convert to fraction form
    9,747.84/14,551.68 = 9,026.88/x
  3. Step 3: Cross multiply
    9,747.84x = 14,551.68 × 9,026.88
  4. Step 4: Simplify right side
    9,747.84x = 131,356,269.16
  5. Step 5: Solve for x
    x = 131,356,269.16/9,747.84
  6. Step 6: Final answer
    x = 13,475.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.