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Finding the Fourth Proportional to 9,271.02, 12,794.08 and 5,022.08

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Solution

The fourth proportional to 9,271.02, 12,794.08 and 5,022.08 is: 6,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.02 : 12,794.08 = 5,022.08 : x
  2. Step 2: Convert to fraction form
    9,271.02/12,794.08 = 5,022.08/x
  3. Step 3: Cross multiply
    9,271.02x = 12,794.08 × 5,022.08
  4. Step 4: Simplify right side
    9,271.02x = 64,252,893.29
  5. Step 5: Solve for x
    x = 64,252,893.29/9,271.02
  6. Step 6: Final answer
    x = 6,930.51

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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.