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Finding the Fourth Proportional to 6,334.74, 8,744.38 and 5,670.42

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Solution

The fourth proportional to 6,334.74, 8,744.38 and 5,670.42 is: 7,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.74 : 8,744.38 = 5,670.42 : x
  2. Step 2: Convert to fraction form
    6,334.74/8,744.38 = 5,670.42/x
  3. Step 3: Cross multiply
    6,334.74x = 8,744.38 × 5,670.42
  4. Step 4: Simplify right side
    6,334.74x = 49,584,307.24
  5. Step 5: Solve for x
    x = 49,584,307.24/6,334.74
  6. Step 6: Final answer
    x = 7,827.36

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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.