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Finding the Fourth Proportional to 5,614.70, 7,746.56 and 3,256.38

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Solution

The fourth proportional to 5,614.70, 7,746.56 and 3,256.38 is: 4,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.70 : 7,746.56 = 3,256.38 : x
  2. Step 2: Convert to fraction form
    5,614.70/7,746.56 = 3,256.38/x
  3. Step 3: Cross multiply
    5,614.70x = 7,746.56 × 3,256.38
  4. Step 4: Simplify right side
    5,614.70x = 25,225,743.05
  5. Step 5: Solve for x
    x = 25,225,743.05/5,614.70
  6. Step 6: Final answer
    x = 4,492.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.