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Finding the Fourth Proportional to 7,642.61, 11,464.94 and 3,024.53

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Solution

The fourth proportional to 7,642.61, 11,464.94 and 3,024.53 is: 4,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.61 : 11,464.94 = 3,024.53 : x
  2. Step 2: Convert to fraction form
    7,642.61/11,464.94 = 3,024.53/x
  3. Step 3: Cross multiply
    7,642.61x = 11,464.94 × 3,024.53
  4. Step 4: Simplify right side
    7,642.61x = 34,676,039.86
  5. Step 5: Solve for x
    x = 34,676,039.86/7,642.61
  6. Step 6: Final answer
    x = 4,537.20

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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.