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Finding the Fourth Proportional to 7,516.50, 10,373.25 and 4,204.50

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Solution

The fourth proportional to 7,516.50, 10,373.25 and 4,204.50 is: 5,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,516.50 : 10,373.25 = 4,204.50 : x
  2. Step 2: Convert to fraction form
    7,516.50/10,373.25 = 4,204.50/x
  3. Step 3: Cross multiply
    7,516.50x = 10,373.25 × 4,204.50
  4. Step 4: Simplify right side
    7,516.50x = 43,614,329.63
  5. Step 5: Solve for x
    x = 43,614,329.63/7,516.50
  6. Step 6: Final answer
    x = 5,802.48

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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.