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Finding the Fourth Proportional to 13,048.75, 18,007.28 and 7,459.75

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Solution

The fourth proportional to 13,048.75, 18,007.28 and 7,459.75 is: 10,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.75 : 18,007.28 = 7,459.75 : x
  2. Step 2: Convert to fraction form
    13,048.75/18,007.28 = 7,459.75/x
  3. Step 3: Cross multiply
    13,048.75x = 18,007.28 × 7,459.75
  4. Step 4: Simplify right side
    13,048.75x = 134,329,769.68
  5. Step 5: Solve for x
    x = 134,329,769.68/13,048.75
  6. Step 6: Final answer
    x = 10,294.46

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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.