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Finding the Fourth Proportional to 8,407, 11,601.66 and 4,681.24

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Solution

The fourth proportional to 8,407, 11,601.66 and 4,681.24 is: 6,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407 : 11,601.66 = 4,681.24 : x
  2. Step 2: Convert to fraction form
    8,407/11,601.66 = 4,681.24/x
  3. Step 3: Cross multiply
    8,407x = 11,601.66 × 4,681.24
  4. Step 4: Simplify right side
    8,407x = 54,310,154.86
  5. Step 5: Solve for x
    x = 54,310,154.86/8,407
  6. Step 6: Final answer
    x = 6,460.11

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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.