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Finding the Fourth Proportional to 7,692.33, 10,612.71 and 4,707.09

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Solution

The fourth proportional to 7,692.33, 10,612.71 and 4,707.09 is: 6,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.33 : 10,612.71 = 4,707.09 : x
  2. Step 2: Convert to fraction form
    7,692.33/10,612.71 = 4,707.09/x
  3. Step 3: Cross multiply
    7,692.33x = 10,612.71 × 4,707.09
  4. Step 4: Simplify right side
    7,692.33x = 49,954,981.11
  5. Step 5: Solve for x
    x = 49,954,981.11/7,692.33
  6. Step 6: Final answer
    x = 6,494.13

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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.