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Finding the Fourth Proportional to 7,463.50, 10,299.64 and 4,151.50

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Solution

The fourth proportional to 7,463.50, 10,299.64 and 4,151.50 is: 5,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.50 : 10,299.64 = 4,151.50 : x
  2. Step 2: Convert to fraction form
    7,463.50/10,299.64 = 4,151.50/x
  3. Step 3: Cross multiply
    7,463.50x = 10,299.64 × 4,151.50
  4. Step 4: Simplify right side
    7,463.50x = 42,758,955.46
  5. Step 5: Solve for x
    x = 42,758,955.46/7,463.50
  6. Step 6: Final answer
    x = 5,729.08

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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.