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Finding the Fourth Proportional to 23,101.68, 34,648.80 and 6,460

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Solution

The fourth proportional to 23,101.68, 34,648.80 and 6,460 is: 9,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.68 : 34,648.80 = 6,460 : x
  2. Step 2: Convert to fraction form
    23,101.68/34,648.80 = 6,460/x
  3. Step 3: Cross multiply
    23,101.68x = 34,648.80 × 6,460
  4. Step 4: Simplify right side
    23,101.68x = 223,831,248.00
  5. Step 5: Solve for x
    x = 223,831,248.00/23,101.68
  6. Step 6: Final answer
    x = 9,688.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.