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Finding the Fourth Proportional to 24,763.50, 37,151.01 and 8,347.50

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Solution

The fourth proportional to 24,763.50, 37,151.01 and 8,347.50 is: 12,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.50 : 37,151.01 = 8,347.50 : x
  2. Step 2: Convert to fraction form
    24,763.50/37,151.01 = 8,347.50/x
  3. Step 3: Cross multiply
    24,763.50x = 37,151.01 × 8,347.50
  4. Step 4: Simplify right side
    24,763.50x = 310,118,055.98
  5. Step 5: Solve for x
    x = 310,118,055.98/24,763.50
  6. Step 6: Final answer
    x = 12,523.19

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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.