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Finding the Fourth Proportional to 8,312.04, 11,470.14 and 4,775.24

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Solution

The fourth proportional to 8,312.04, 11,470.14 and 4,775.24 is: 6,589.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.04 : 11,470.14 = 4,775.24 : x
  2. Step 2: Convert to fraction form
    8,312.04/11,470.14 = 4,775.24/x
  3. Step 3: Cross multiply
    8,312.04x = 11,470.14 × 4,775.24
  4. Step 4: Simplify right side
    8,312.04x = 54,772,671.33
  5. Step 5: Solve for x
    x = 54,772,671.33/8,312.04
  6. Step 6: Final answer
    x = 6,589.56

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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.