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Finding the Fourth Proportional to 6,585.74, 9,875.22 and 2,424.30

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Solution

The fourth proportional to 6,585.74, 9,875.22 and 2,424.30 is: 3,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.74 : 9,875.22 = 2,424.30 : x
  2. Step 2: Convert to fraction form
    6,585.74/9,875.22 = 2,424.30/x
  3. Step 3: Cross multiply
    6,585.74x = 9,875.22 × 2,424.30
  4. Step 4: Simplify right side
    6,585.74x = 23,940,495.85
  5. Step 5: Solve for x
    x = 23,940,495.85/6,585.74
  6. Step 6: Final answer
    x = 3,635.20

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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.