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Finding the Fourth Proportional to 10,692.66, 14,756.02 and 6,448.15

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Solution

The fourth proportional to 10,692.66, 14,756.02 and 6,448.15 is: 8,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.66 : 14,756.02 = 6,448.15 : x
  2. Step 2: Convert to fraction form
    10,692.66/14,756.02 = 6,448.15/x
  3. Step 3: Cross multiply
    10,692.66x = 14,756.02 × 6,448.15
  4. Step 4: Simplify right side
    10,692.66x = 95,148,977.35
  5. Step 5: Solve for x
    x = 95,148,977.35/10,692.66
  6. Step 6: Final answer
    x = 8,898.53

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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.