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Finding the Fourth Proportional to 9,873.88, 13,624.77 and 5,624.95

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Solution

The fourth proportional to 9,873.88, 13,624.77 and 5,624.95 is: 7,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.88 : 13,624.77 = 5,624.95 : x
  2. Step 2: Convert to fraction form
    9,873.88/13,624.77 = 5,624.95/x
  3. Step 3: Cross multiply
    9,873.88x = 13,624.77 × 5,624.95
  4. Step 4: Simplify right side
    9,873.88x = 76,638,650.01
  5. Step 5: Solve for x
    x = 76,638,650.01/9,873.88
  6. Step 6: Final answer
    x = 7,761.76

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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.