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Finding the Fourth Proportional to 7,692.33, 10,613.06 and 4,705.05

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Solution

The fourth proportional to 7,692.33, 10,613.06 and 4,705.05 is: 6,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.33 : 10,613.06 = 4,705.05 : x
  2. Step 2: Convert to fraction form
    7,692.33/10,613.06 = 4,705.05/x
  3. Step 3: Cross multiply
    7,692.33x = 10,613.06 × 4,705.05
  4. Step 4: Simplify right side
    7,692.33x = 49,935,011.87
  5. Step 5: Solve for x
    x = 49,935,011.87/7,692.33
  6. Step 6: Final answer
    x = 6,491.53

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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.