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Finding the Fourth Proportional to 6,335.60, 9,503.40 and 3,411.50

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Solution

The fourth proportional to 6,335.60, 9,503.40 and 3,411.50 is: 5,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.60 : 9,503.40 = 3,411.50 : x
  2. Step 2: Convert to fraction form
    6,335.60/9,503.40 = 3,411.50/x
  3. Step 3: Cross multiply
    6,335.60x = 9,503.40 × 3,411.50
  4. Step 4: Simplify right side
    6,335.60x = 32,420,849.10
  5. Step 5: Solve for x
    x = 32,420,849.10/6,335.60
  6. Step 6: Final answer
    x = 5,117.25

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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.