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Finding the Fourth Proportional to 6,830.42, 9,401.51 and 4,837.53

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Solution

The fourth proportional to 6,830.42, 9,401.51 and 4,837.53 is: 6,658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.42 : 9,401.51 = 4,837.53 : x
  2. Step 2: Convert to fraction form
    6,830.42/9,401.51 = 4,837.53/x
  3. Step 3: Cross multiply
    6,830.42x = 9,401.51 × 4,837.53
  4. Step 4: Simplify right side
    6,830.42x = 45,480,098.76
  5. Step 5: Solve for x
    x = 45,480,098.76/6,830.42
  6. Step 6: Final answer
    x = 6,658.46

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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.