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Finding the Fourth Proportional to 6,468.60, 9,695.70 and 3,347.40

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Solution

The fourth proportional to 6,468.60, 9,695.70 and 3,347.40 is: 5,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.60 : 9,695.70 = 3,347.40 : x
  2. Step 2: Convert to fraction form
    6,468.60/9,695.70 = 3,347.40/x
  3. Step 3: Cross multiply
    6,468.60x = 9,695.70 × 3,347.40
  4. Step 4: Simplify right side
    6,468.60x = 32,455,386.18
  5. Step 5: Solve for x
    x = 32,455,386.18/6,468.60
  6. Step 6: Final answer
    x = 5,017.37

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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.