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Finding the Fourth Proportional to 6,478.47, 8,938.06 and 3,645.40

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Solution

The fourth proportional to 6,478.47, 8,938.06 and 3,645.40 is: 5,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.47 : 8,938.06 = 3,645.40 : x
  2. Step 2: Convert to fraction form
    6,478.47/8,938.06 = 3,645.40/x
  3. Step 3: Cross multiply
    6,478.47x = 8,938.06 × 3,645.40
  4. Step 4: Simplify right side
    6,478.47x = 32,582,803.92
  5. Step 5: Solve for x
    x = 32,582,803.92/6,478.47
  6. Step 6: Final answer
    x = 5,029.40

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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.