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Finding the Fourth Proportional to 6,410.61, 9,619.70 and 4,070.52

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Solution

The fourth proportional to 6,410.61, 9,619.70 and 4,070.52 is: 6,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.61 : 9,619.70 = 4,070.52 : x
  2. Step 2: Convert to fraction form
    6,410.61/9,619.70 = 4,070.52/x
  3. Step 3: Cross multiply
    6,410.61x = 9,619.70 × 4,070.52
  4. Step 4: Simplify right side
    6,410.61x = 39,157,160.89
  5. Step 5: Solve for x
    x = 39,157,160.89/6,410.61
  6. Step 6: Final answer
    x = 6,108.18

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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.