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Finding the Fourth Proportional to 6,462.12, 9,733.12 and 6,151.08

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Solution

The fourth proportional to 6,462.12, 9,733.12 and 6,151.08 is: 9,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.12 : 9,733.12 = 6,151.08 : x
  2. Step 2: Convert to fraction form
    6,462.12/9,733.12 = 6,151.08/x
  3. Step 3: Cross multiply
    6,462.12x = 9,733.12 × 6,151.08
  4. Step 4: Simplify right side
    6,462.12x = 59,869,199.77
  5. Step 5: Solve for x
    x = 59,869,199.77/6,462.12
  6. Step 6: Final answer
    x = 9,264.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.