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Finding the Fourth Proportional to 10,692.99, 14,756.67 and 5,913.18

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Solution

The fourth proportional to 10,692.99, 14,756.67 and 5,913.18 is: 8,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.99 : 14,756.67 = 5,913.18 : x
  2. Step 2: Convert to fraction form
    10,692.99/14,756.67 = 5,913.18/x
  3. Step 3: Cross multiply
    10,692.99x = 14,756.67 × 5,913.18
  4. Step 4: Simplify right side
    10,692.99x = 87,258,845.91
  5. Step 5: Solve for x
    x = 87,258,845.91/10,692.99
  6. Step 6: Final answer
    x = 8,160.38

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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.