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Finding the Fourth Proportional to 6,689.60, 10,034.16 and 2,310.08

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Solution

The fourth proportional to 6,689.60, 10,034.16 and 2,310.08 is: 3,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.60 : 10,034.16 = 2,310.08 : x
  2. Step 2: Convert to fraction form
    6,689.60/10,034.16 = 2,310.08/x
  3. Step 3: Cross multiply
    6,689.60x = 10,034.16 × 2,310.08
  4. Step 4: Simplify right side
    6,689.60x = 23,179,712.33
  5. Step 5: Solve for x
    x = 23,179,712.33/6,689.60
  6. Step 6: Final answer
    x = 3,465.04

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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.