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Finding the Fourth Proportional to 15,165.63, 22,734.09 and 5,298.53

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Solution

The fourth proportional to 15,165.63, 22,734.09 and 5,298.53 is: 7,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.63 : 22,734.09 = 5,298.53 : x
  2. Step 2: Convert to fraction form
    15,165.63/22,734.09 = 5,298.53/x
  3. Step 3: Cross multiply
    15,165.63x = 22,734.09 × 5,298.53
  4. Step 4: Simplify right side
    15,165.63x = 120,457,144.22
  5. Step 5: Solve for x
    x = 120,457,144.22/15,165.63
  6. Step 6: Final answer
    x = 7,942.77

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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.