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Finding the Fourth Proportional to 10,606.87, 14,640.12 and 6,133.22

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Solution

The fourth proportional to 10,606.87, 14,640.12 and 6,133.22 is: 8,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.87 : 14,640.12 = 6,133.22 : x
  2. Step 2: Convert to fraction form
    10,606.87/14,640.12 = 6,133.22/x
  3. Step 3: Cross multiply
    10,606.87x = 14,640.12 × 6,133.22
  4. Step 4: Simplify right side
    10,606.87x = 89,791,041.24
  5. Step 5: Solve for x
    x = 89,791,041.24/10,606.87
  6. Step 6: Final answer
    x = 8,465.36

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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.