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Finding the Fourth Proportional to 15,805.68, 23,692.05 and 6,441.63

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Solution

The fourth proportional to 15,805.68, 23,692.05 and 6,441.63 is: 9,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.68 : 23,692.05 = 6,441.63 : x
  2. Step 2: Convert to fraction form
    15,805.68/23,692.05 = 6,441.63/x
  3. Step 3: Cross multiply
    15,805.68x = 23,692.05 × 6,441.63
  4. Step 4: Simplify right side
    15,805.68x = 152,615,420.04
  5. Step 5: Solve for x
    x = 152,615,420.04/15,805.68
  6. Step 6: Final answer
    x = 9,655.73

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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.