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Finding the Fourth Proportional to 4,470.85, 6,706.95 and 1,548.78

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Solution

The fourth proportional to 4,470.85, 6,706.95 and 1,548.78 is: 2,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.85 : 6,706.95 = 1,548.78 : x
  2. Step 2: Convert to fraction form
    4,470.85/6,706.95 = 1,548.78/x
  3. Step 3: Cross multiply
    4,470.85x = 6,706.95 × 1,548.78
  4. Step 4: Simplify right side
    4,470.85x = 10,387,590.02
  5. Step 5: Solve for x
    x = 10,387,590.02/4,470.85
  6. Step 6: Final answer
    x = 2,323.40

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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.