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Finding the Fourth Proportional to 7,692.48, 10,569.48 and 6,117.84

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Solution

The fourth proportional to 7,692.48, 10,569.48 and 6,117.84 is: 8,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.48 : 10,569.48 = 6,117.84 : x
  2. Step 2: Convert to fraction form
    7,692.48/10,569.48 = 6,117.84/x
  3. Step 3: Cross multiply
    7,692.48x = 10,569.48 × 6,117.84
  4. Step 4: Simplify right side
    7,692.48x = 64,662,387.52
  5. Step 5: Solve for x
    x = 64,662,387.52/7,692.48
  6. Step 6: Final answer
    x = 8,405.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.