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Finding the Fourth Proportional to 3,478.80, 4,700.70 and 3,478.80

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Solution

The fourth proportional to 3,478.80, 4,700.70 and 3,478.80 is: 4,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.80 : 4,700.70 = 3,478.80 : x
  2. Step 2: Convert to fraction form
    3,478.80/4,700.70 = 3,478.80/x
  3. Step 3: Cross multiply
    3,478.80x = 4,700.70 × 3,478.80
  4. Step 4: Simplify right side
    3,478.80x = 16,352,795.16
  5. Step 5: Solve for x
    x = 16,352,795.16/3,478.80
  6. Step 6: Final answer
    x = 4,700.70

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.