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Finding the Fourth Proportional to 8,426.76, 11,625 and 5,400.06

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Solution

The fourth proportional to 8,426.76, 11,625 and 5,400.06 is: 7,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.76 : 11,625 = 5,400.06 : x
  2. Step 2: Convert to fraction form
    8,426.76/11,625 = 5,400.06/x
  3. Step 3: Cross multiply
    8,426.76x = 11,625 × 5,400.06
  4. Step 4: Simplify right side
    8,426.76x = 62,775,697.50
  5. Step 5: Solve for x
    x = 62,775,697.50/8,426.76
  6. Step 6: Final answer
    x = 7,449.57

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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.