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Finding the Fourth Proportional to 8,523.65, 11,761.81 and 4,746.68

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Solution

The fourth proportional to 8,523.65, 11,761.81 and 4,746.68 is: 6,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.65 : 11,761.81 = 4,746.68 : x
  2. Step 2: Convert to fraction form
    8,523.65/11,761.81 = 4,746.68/x
  3. Step 3: Cross multiply
    8,523.65x = 11,761.81 × 4,746.68
  4. Step 4: Simplify right side
    8,523.65x = 55,829,477.62
  5. Step 5: Solve for x
    x = 55,829,477.62/8,523.65
  6. Step 6: Final answer
    x = 6,549.95

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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.