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Finding the Fourth Proportional to 7,290.30, 10,934.78 and 4,366.46

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Solution

The fourth proportional to 7,290.30, 10,934.78 and 4,366.46 is: 6,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.30 : 10,934.78 = 4,366.46 : x
  2. Step 2: Convert to fraction form
    7,290.30/10,934.78 = 4,366.46/x
  3. Step 3: Cross multiply
    7,290.30x = 10,934.78 × 4,366.46
  4. Step 4: Simplify right side
    7,290.30x = 47,746,279.48
  5. Step 5: Solve for x
    x = 47,746,279.48/7,290.30
  6. Step 6: Final answer
    x = 6,549.29

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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.