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Finding the Fourth Proportional to 8,407.60, 11,602.28 and 4,681.52

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Solution

The fourth proportional to 8,407.60, 11,602.28 and 4,681.52 is: 6,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.60 : 11,602.28 = 4,681.52 : x
  2. Step 2: Convert to fraction form
    8,407.60/11,602.28 = 4,681.52/x
  3. Step 3: Cross multiply
    8,407.60x = 11,602.28 × 4,681.52
  4. Step 4: Simplify right side
    8,407.60x = 54,316,305.87
  5. Step 5: Solve for x
    x = 54,316,305.87/8,407.60
  6. Step 6: Final answer
    x = 6,460.38

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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.