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Finding the Fourth Proportional to 5,614.79, 7,746.71 and 3,256.47

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Solution

The fourth proportional to 5,614.79, 7,746.71 and 3,256.47 is: 4,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.79 : 7,746.71 = 3,256.47 : x
  2. Step 2: Convert to fraction form
    5,614.79/7,746.71 = 3,256.47/x
  3. Step 3: Cross multiply
    5,614.79x = 7,746.71 × 3,256.47
  4. Step 4: Simplify right side
    5,614.79x = 25,226,912.43
  5. Step 5: Solve for x
    x = 25,226,912.43/5,614.79
  6. Step 6: Final answer
    x = 4,492.94

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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.