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Finding the Fourth Proportional to 8,407.74, 11,602.80 and 4,681.74

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Solution

The fourth proportional to 8,407.74, 11,602.80 and 4,681.74 is: 6,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.74 : 11,602.80 = 4,681.74 : x
  2. Step 2: Convert to fraction form
    8,407.74/11,602.80 = 4,681.74/x
  3. Step 3: Cross multiply
    8,407.74x = 11,602.80 × 4,681.74
  4. Step 4: Simplify right side
    8,407.74x = 54,321,292.87
  5. Step 5: Solve for x
    x = 54,321,292.87/8,407.74
  6. Step 6: Final answer
    x = 6,460.87

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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.