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Finding the Fourth Proportional to 7,842.99, 11,767.76 and 4,883.91

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Solution

The fourth proportional to 7,842.99, 11,767.76 and 4,883.91 is: 7,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.99 : 11,767.76 = 4,883.91 : x
  2. Step 2: Convert to fraction form
    7,842.99/11,767.76 = 4,883.91/x
  3. Step 3: Cross multiply
    7,842.99x = 11,767.76 × 4,883.91
  4. Step 4: Simplify right side
    7,842.99x = 57,472,680.74
  5. Step 5: Solve for x
    x = 57,472,680.74/7,842.99
  6. Step 6: Final answer
    x = 7,327.90

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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.