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Finding the Fourth Proportional to 9,692.88, 13,378.80 and 5,502.48

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Solution

The fourth proportional to 9,692.88, 13,378.80 and 5,502.48 is: 7,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.88 : 13,378.80 = 5,502.48 : x
  2. Step 2: Convert to fraction form
    9,692.88/13,378.80 = 5,502.48/x
  3. Step 3: Cross multiply
    9,692.88x = 13,378.80 × 5,502.48
  4. Step 4: Simplify right side
    9,692.88x = 73,616,579.42
  5. Step 5: Solve for x
    x = 73,616,579.42/9,692.88
  6. Step 6: Final answer
    x = 7,594.91

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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.