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Finding the Fourth Proportional to 7,442.68, 10,271.22 and 4,459

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Solution

The fourth proportional to 7,442.68, 10,271.22 and 4,459 is: 6,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.68 : 10,271.22 = 4,459 : x
  2. Step 2: Convert to fraction form
    7,442.68/10,271.22 = 4,459/x
  3. Step 3: Cross multiply
    7,442.68x = 10,271.22 × 4,459
  4. Step 4: Simplify right side
    7,442.68x = 45,799,369.98
  5. Step 5: Solve for x
    x = 45,799,369.98/7,442.68
  6. Step 6: Final answer
    x = 6,153.61

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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.