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Finding the Fourth Proportional to 6,502.88, 8,971.08 and 4,144.16

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Solution

The fourth proportional to 6,502.88, 8,971.08 and 4,144.16 is: 5,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.88 : 8,971.08 = 4,144.16 : x
  2. Step 2: Convert to fraction form
    6,502.88/8,971.08 = 4,144.16/x
  3. Step 3: Cross multiply
    6,502.88x = 8,971.08 × 4,144.16
  4. Step 4: Simplify right side
    6,502.88x = 37,177,590.89
  5. Step 5: Solve for x
    x = 37,177,590.89/6,502.88
  6. Step 6: Final answer
    x = 5,717.10

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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.