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Finding the Fourth Proportional to 9,873.34, 13,625.16 and 5,624.17

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Solution

The fourth proportional to 9,873.34, 13,625.16 and 5,624.17 is: 7,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.34 : 13,625.16 = 5,624.17 : x
  2. Step 2: Convert to fraction form
    9,873.34/13,625.16 = 5,624.17/x
  3. Step 3: Cross multiply
    9,873.34x = 13,625.16 × 5,624.17
  4. Step 4: Simplify right side
    9,873.34x = 76,630,216.12
  5. Step 5: Solve for x
    x = 76,630,216.12/9,873.34
  6. Step 6: Final answer
    x = 7,761.33

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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.