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Finding the Fourth Proportional to 7,692.16, 10,615.53 and 4,335.11

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Solution

The fourth proportional to 7,692.16, 10,615.53 and 4,335.11 is: 5,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.16 : 10,615.53 = 4,335.11 : x
  2. Step 2: Convert to fraction form
    7,692.16/10,615.53 = 4,335.11/x
  3. Step 3: Cross multiply
    7,692.16x = 10,615.53 × 4,335.11
  4. Step 4: Simplify right side
    7,692.16x = 46,019,490.26
  5. Step 5: Solve for x
    x = 46,019,490.26/7,692.16
  6. Step 6: Final answer
    x = 5,982.65

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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.