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Finding the Fourth Proportional to 6,583.73, 9,875.46 and 2,886.24

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Solution

The fourth proportional to 6,583.73, 9,875.46 and 2,886.24 is: 4,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.73 : 9,875.46 = 2,886.24 : x
  2. Step 2: Convert to fraction form
    6,583.73/9,875.46 = 2,886.24/x
  3. Step 3: Cross multiply
    6,583.73x = 9,875.46 × 2,886.24
  4. Step 4: Simplify right side
    6,583.73x = 28,502,947.67
  5. Step 5: Solve for x
    x = 28,502,947.67/6,583.73
  6. Step 6: Final answer
    x = 4,329.30

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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.