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Finding the Fourth Proportional to 15,322.84, 22,972.68 and 7,827.50

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Solution

The fourth proportional to 15,322.84, 22,972.68 and 7,827.50 is: 11,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.84 : 22,972.68 = 7,827.50 : x
  2. Step 2: Convert to fraction form
    15,322.84/22,972.68 = 7,827.50/x
  3. Step 3: Cross multiply
    15,322.84x = 22,972.68 × 7,827.50
  4. Step 4: Simplify right side
    15,322.84x = 179,818,652.70
  5. Step 5: Solve for x
    x = 179,818,652.70/15,322.84
  6. Step 6: Final answer
    x = 11,735.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.