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Finding the Fourth Proportional to 8,312.10, 11,470.53 and 4,775.22

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Solution

The fourth proportional to 8,312.10, 11,470.53 and 4,775.22 is: 6,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.10 : 11,470.53 = 4,775.22 : x
  2. Step 2: Convert to fraction form
    8,312.10/11,470.53 = 4,775.22/x
  3. Step 3: Cross multiply
    8,312.10x = 11,470.53 × 4,775.22
  4. Step 4: Simplify right side
    8,312.10x = 54,774,304.27
  5. Step 5: Solve for x
    x = 54,774,304.27/8,312.10
  6. Step 6: Final answer
    x = 6,589.71

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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.