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Finding the Fourth Proportional to 6,502.70, 8,975.14 and 4,111.16

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Solution

The fourth proportional to 6,502.70, 8,975.14 and 4,111.16 is: 5,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.70 : 8,975.14 = 4,111.16 : x
  2. Step 2: Convert to fraction form
    6,502.70/8,975.14 = 4,111.16/x
  3. Step 3: Cross multiply
    6,502.70x = 8,975.14 × 4,111.16
  4. Step 4: Simplify right side
    6,502.70x = 36,898,181.41
  5. Step 5: Solve for x
    x = 36,898,181.41/6,502.70
  6. Step 6: Final answer
    x = 5,674.28

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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.