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Finding the Fourth Proportional to 9,271.68, 12,794.82 and 5,022.68

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Solution

The fourth proportional to 9,271.68, 12,794.82 and 5,022.68 is: 6,931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.68 : 12,794.82 = 5,022.68 : x
  2. Step 2: Convert to fraction form
    9,271.68/12,794.82 = 5,022.68/x
  3. Step 3: Cross multiply
    9,271.68x = 12,794.82 × 5,022.68
  4. Step 4: Simplify right side
    9,271.68x = 64,264,286.52
  5. Step 5: Solve for x
    x = 64,264,286.52/9,271.68
  6. Step 6: Final answer
    x = 6,931.25

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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.