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Finding the Fourth Proportional to 8,407.76, 11,602.74 and 4,681.76

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Solution

The fourth proportional to 8,407.76, 11,602.74 and 4,681.76 is: 6,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.76 : 11,602.74 = 4,681.76 : x
  2. Step 2: Convert to fraction form
    8,407.76/11,602.74 = 4,681.76/x
  3. Step 3: Cross multiply
    8,407.76x = 11,602.74 × 4,681.76
  4. Step 4: Simplify right side
    8,407.76x = 54,321,244.02
  5. Step 5: Solve for x
    x = 54,321,244.02/8,407.76
  6. Step 6: Final answer
    x = 6,460.85

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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.