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Finding the Fourth Proportional to 7,661.50, 10,572.88 and 4,349.50

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Solution

The fourth proportional to 7,661.50, 10,572.88 and 4,349.50 is: 6,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.50 : 10,572.88 = 4,349.50 : x
  2. Step 2: Convert to fraction form
    7,661.50/10,572.88 = 4,349.50/x
  3. Step 3: Cross multiply
    7,661.50x = 10,572.88 × 4,349.50
  4. Step 4: Simplify right side
    7,661.50x = 45,986,741.56
  5. Step 5: Solve for x
    x = 45,986,741.56/7,661.50
  6. Step 6: Final answer
    x = 6,002.32

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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.