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Finding the Fourth Proportional to 5,075.76, 7,613.56 and 1,565.76

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Solution

The fourth proportional to 5,075.76, 7,613.56 and 1,565.76 is: 2,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.76 : 7,613.56 = 1,565.76 : x
  2. Step 2: Convert to fraction form
    5,075.76/7,613.56 = 1,565.76/x
  3. Step 3: Cross multiply
    5,075.76x = 7,613.56 × 1,565.76
  4. Step 4: Simplify right side
    5,075.76x = 11,921,007.71
  5. Step 5: Solve for x
    x = 11,921,007.71/5,075.76
  6. Step 6: Final answer
    x = 2,348.62

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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.