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Finding the Fourth Proportional to 25,692.50, 38,538.77 and 7,224.50

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Solution

The fourth proportional to 25,692.50, 38,538.77 and 7,224.50 is: 10,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692.50 : 38,538.77 = 7,224.50 : x
  2. Step 2: Convert to fraction form
    25,692.50/38,538.77 = 7,224.50/x
  3. Step 3: Cross multiply
    25,692.50x = 38,538.77 × 7,224.50
  4. Step 4: Simplify right side
    25,692.50x = 278,423,307.74
  5. Step 5: Solve for x
    x = 278,423,307.74/25,692.50
  6. Step 6: Final answer
    x = 10,836.75

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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.