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Finding the Fourth Proportional to 7,874.58, 10,866.59 and 4,515.06

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Solution

The fourth proportional to 7,874.58, 10,866.59 and 4,515.06 is: 6,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.58 : 10,866.59 = 4,515.06 : x
  2. Step 2: Convert to fraction form
    7,874.58/10,866.59 = 4,515.06/x
  3. Step 3: Cross multiply
    7,874.58x = 10,866.59 × 4,515.06
  4. Step 4: Simplify right side
    7,874.58x = 49,063,283.27
  5. Step 5: Solve for x
    x = 49,063,283.27/7,874.58
  6. Step 6: Final answer
    x = 6,230.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.