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Finding the Fourth Proportional to 7,164.72, 10,742.65 and 2,483.64

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Solution

The fourth proportional to 7,164.72, 10,742.65 and 2,483.64 is: 3,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.72 : 10,742.65 = 2,483.64 : x
  2. Step 2: Convert to fraction form
    7,164.72/10,742.65 = 2,483.64/x
  3. Step 3: Cross multiply
    7,164.72x = 10,742.65 × 2,483.64
  4. Step 4: Simplify right side
    7,164.72x = 26,680,875.25
  5. Step 5: Solve for x
    x = 26,680,875.25/7,164.72
  6. Step 6: Final answer
    x = 3,723.92

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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.