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Finding the Fourth Proportional to 9,787.74, 14,668.73 and 5,347.35

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Solution

The fourth proportional to 9,787.74, 14,668.73 and 5,347.35 is: 8,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.74 : 14,668.73 = 5,347.35 : x
  2. Step 2: Convert to fraction form
    9,787.74/14,668.73 = 5,347.35/x
  3. Step 3: Cross multiply
    9,787.74x = 14,668.73 × 5,347.35
  4. Step 4: Simplify right side
    9,787.74x = 78,438,826.68
  5. Step 5: Solve for x
    x = 78,438,826.68/9,787.74
  6. Step 6: Final answer
    x = 8,013.99

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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.