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Finding the Fourth Proportional to 4,697.07, 6,478.02 and 4,638.75

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Solution

The fourth proportional to 4,697.07, 6,478.02 and 4,638.75 is: 6,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.07 : 6,478.02 = 4,638.75 : x
  2. Step 2: Convert to fraction form
    4,697.07/6,478.02 = 4,638.75/x
  3. Step 3: Cross multiply
    4,697.07x = 6,478.02 × 4,638.75
  4. Step 4: Simplify right side
    4,697.07x = 30,049,915.28
  5. Step 5: Solve for x
    x = 30,049,915.28/4,697.07
  6. Step 6: Final answer
    x = 6,397.59

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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.