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Finding the Fourth Proportional to 10,407.96, 14,362.20 and 5,692.08

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Solution

The fourth proportional to 10,407.96, 14,362.20 and 5,692.08 is: 7,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.96 : 14,362.20 = 5,692.08 : x
  2. Step 2: Convert to fraction form
    10,407.96/14,362.20 = 5,692.08/x
  3. Step 3: Cross multiply
    10,407.96x = 14,362.20 × 5,692.08
  4. Step 4: Simplify right side
    10,407.96x = 81,750,791.38
  5. Step 5: Solve for x
    x = 81,750,791.38/10,407.96
  6. Step 6: Final answer
    x = 7,854.64

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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.