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Finding the Fourth Proportional to 6,146.60, 9,217.08 and 1,763

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Solution

The fourth proportional to 6,146.60, 9,217.08 and 1,763 is: 2,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.60 : 9,217.08 = 1,763 : x
  2. Step 2: Convert to fraction form
    6,146.60/9,217.08 = 1,763/x
  3. Step 3: Cross multiply
    6,146.60x = 9,217.08 × 1,763
  4. Step 4: Simplify right side
    6,146.60x = 16,249,712.04
  5. Step 5: Solve for x
    x = 16,249,712.04/6,146.60
  6. Step 6: Final answer
    x = 2,643.69

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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.