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Finding the Fourth Proportional to 6,589.76, 9,874.72 and 2,888.48

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Solution

The fourth proportional to 6,589.76, 9,874.72 and 2,888.48 is: 4,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.76 : 9,874.72 = 2,888.48 : x
  2. Step 2: Convert to fraction form
    6,589.76/9,874.72 = 2,888.48/x
  3. Step 3: Cross multiply
    6,589.76x = 9,874.72 × 2,888.48
  4. Step 4: Simplify right side
    6,589.76x = 28,522,931.23
  5. Step 5: Solve for x
    x = 28,522,931.23/6,589.76
  6. Step 6: Final answer
    x = 4,328.37

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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.