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Finding the Fourth Proportional to 19,734.30, 29,600.10 and 6,407.10

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Solution

The fourth proportional to 19,734.30, 29,600.10 and 6,407.10 is: 9,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734.30 : 29,600.10 = 6,407.10 : x
  2. Step 2: Convert to fraction form
    19,734.30/29,600.10 = 6,407.10/x
  3. Step 3: Cross multiply
    19,734.30x = 29,600.10 × 6,407.10
  4. Step 4: Simplify right side
    19,734.30x = 189,650,800.71
  5. Step 5: Solve for x
    x = 189,650,800.71/19,734.30
  6. Step 6: Final answer
    x = 9,610.21

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1.5x scale

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.