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Finding the Fourth Proportional to 18,973.50, 28,460.25 and 5,122.50

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Solution

The fourth proportional to 18,973.50, 28,460.25 and 5,122.50 is: 7,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,973.50 : 28,460.25 = 5,122.50 : x
  2. Step 2: Convert to fraction form
    18,973.50/28,460.25 = 5,122.50/x
  3. Step 3: Cross multiply
    18,973.50x = 28,460.25 × 5,122.50
  4. Step 4: Simplify right side
    18,973.50x = 145,787,630.63
  5. Step 5: Solve for x
    x = 145,787,630.63/18,973.50
  6. Step 6: Final answer
    x = 7,683.75

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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.