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Finding the Fourth Proportional to 9,223, 12,728.01 and 5,031.52

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Solution

The fourth proportional to 9,223, 12,728.01 and 5,031.52 is: 6,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 12,728.01 = 5,031.52 : x
  2. Step 2: Convert to fraction form
    9,223/12,728.01 = 5,031.52/x
  3. Step 3: Cross multiply
    9,223x = 12,728.01 × 5,031.52
  4. Step 4: Simplify right side
    9,223x = 64,041,236.88
  5. Step 5: Solve for x
    x = 64,041,236.88/9,223
  6. Step 6: Final answer
    x = 6,943.64

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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.