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Finding the Fourth Proportional to 10,297.63, 15,446.52 and 6,742.74

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Solution

The fourth proportional to 10,297.63, 15,446.52 and 6,742.74 is: 10,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.63 : 15,446.52 = 6,742.74 : x
  2. Step 2: Convert to fraction form
    10,297.63/15,446.52 = 6,742.74/x
  3. Step 3: Cross multiply
    10,297.63x = 15,446.52 × 6,742.74
  4. Step 4: Simplify right side
    10,297.63x = 104,151,868.26
  5. Step 5: Solve for x
    x = 104,151,868.26/10,297.63
  6. Step 6: Final answer
    x = 10,114.16

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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.