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Finding the Fourth Proportional to 9,812.52, 14,718.88 and 5,438.52

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Solution

The fourth proportional to 9,812.52, 14,718.88 and 5,438.52 is: 8,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.52 : 14,718.88 = 5,438.52 : x
  2. Step 2: Convert to fraction form
    9,812.52/14,718.88 = 5,438.52/x
  3. Step 3: Cross multiply
    9,812.52x = 14,718.88 × 5,438.52
  4. Step 4: Simplify right side
    9,812.52x = 80,048,923.26
  5. Step 5: Solve for x
    x = 80,048,923.26/9,812.52
  6. Step 6: Final answer
    x = 8,157.84

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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.