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Finding the Fourth Proportional to 27,646.80, 41,470.20 and 6,870.30

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Solution

The fourth proportional to 27,646.80, 41,470.20 and 6,870.30 is: 10,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.80 : 41,470.20 = 6,870.30 : x
  2. Step 2: Convert to fraction form
    27,646.80/41,470.20 = 6,870.30/x
  3. Step 3: Cross multiply
    27,646.80x = 41,470.20 × 6,870.30
  4. Step 4: Simplify right side
    27,646.80x = 284,912,715.06
  5. Step 5: Solve for x
    x = 284,912,715.06/27,646.80
  6. Step 6: Final answer
    x = 10,305.45

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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.