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Finding the Fourth Proportional to 5,668.61, 7,824.74 and 4,868.69

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Solution

The fourth proportional to 5,668.61, 7,824.74 and 4,868.69 is: 6,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.61 : 7,824.74 = 4,868.69 : x
  2. Step 2: Convert to fraction form
    5,668.61/7,824.74 = 4,868.69/x
  3. Step 3: Cross multiply
    5,668.61x = 7,824.74 × 4,868.69
  4. Step 4: Simplify right side
    5,668.61x = 38,096,169.92
  5. Step 5: Solve for x
    x = 38,096,169.92/5,668.61
  6. Step 6: Final answer
    x = 6,720.55

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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.