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Finding the Fourth Proportional to 6,478.45, 9,715.29 and 2,317.33

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Solution

The fourth proportional to 6,478.45, 9,715.29 and 2,317.33 is: 3,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.45 : 9,715.29 = 2,317.33 : x
  2. Step 2: Convert to fraction form
    6,478.45/9,715.29 = 2,317.33/x
  3. Step 3: Cross multiply
    6,478.45x = 9,715.29 × 2,317.33
  4. Step 4: Simplify right side
    6,478.45x = 22,513,532.98
  5. Step 5: Solve for x
    x = 22,513,532.98/6,478.45
  6. Step 6: Final answer
    x = 3,475.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.