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Finding the Fourth Proportional to 10,465.80, 15,684.12 and 7,865.70

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Solution

The fourth proportional to 10,465.80, 15,684.12 and 7,865.70 is: 11,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.80 : 15,684.12 = 7,865.70 : x
  2. Step 2: Convert to fraction form
    10,465.80/15,684.12 = 7,865.70/x
  3. Step 3: Cross multiply
    10,465.80x = 15,684.12 × 7,865.70
  4. Step 4: Simplify right side
    10,465.80x = 123,366,582.68
  5. Step 5: Solve for x
    x = 123,366,582.68/10,465.80
  6. Step 6: Final answer
    x = 11,787.59

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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.