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Finding the Fourth Proportional to 9,223, 12,727.74 and 5,031.34

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Solution

The fourth proportional to 9,223, 12,727.74 and 5,031.34 is: 6,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223 : 12,727.74 = 5,031.34 : x
  2. Step 2: Convert to fraction form
    9,223/12,727.74 = 5,031.34/x
  3. Step 3: Cross multiply
    9,223x = 12,727.74 × 5,031.34
  4. Step 4: Simplify right side
    9,223x = 64,037,587.37
  5. Step 5: Solve for x
    x = 64,037,587.37/9,223
  6. Step 6: Final answer
    x = 6,943.25

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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.