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Finding the Fourth Proportional to 6,995.76, 9,656.68 and 4,638.68

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Solution

The fourth proportional to 6,995.76, 9,656.68 and 4,638.68 is: 6,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.76 : 9,656.68 = 4,638.68 : x
  2. Step 2: Convert to fraction form
    6,995.76/9,656.68 = 4,638.68/x
  3. Step 3: Cross multiply
    6,995.76x = 9,656.68 × 4,638.68
  4. Step 4: Simplify right side
    6,995.76x = 44,794,248.38
  5. Step 5: Solve for x
    x = 44,794,248.38/6,995.76
  6. Step 6: Final answer
    x = 6,403.06

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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.