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Finding the Fourth Proportional to 6,343.88, 9,498.54 and 4,933.40

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Solution

The fourth proportional to 6,343.88, 9,498.54 and 4,933.40 is: 7,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.88 : 9,498.54 = 4,933.40 : x
  2. Step 2: Convert to fraction form
    6,343.88/9,498.54 = 4,933.40/x
  3. Step 3: Cross multiply
    6,343.88x = 9,498.54 × 4,933.40
  4. Step 4: Simplify right side
    6,343.88x = 46,860,097.24
  5. Step 5: Solve for x
    x = 46,860,097.24/6,343.88
  6. Step 6: Final answer
    x = 7,386.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.