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Finding the Fourth Proportional to 9,384, 12,950.01 and 5,192.34

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Solution

The fourth proportional to 9,384, 12,950.01 and 5,192.34 is: 7,165.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 12,950.01 = 5,192.34 : x
  2. Step 2: Convert to fraction form
    9,384/12,950.01 = 5,192.34/x
  3. Step 3: Cross multiply
    9,384x = 12,950.01 × 5,192.34
  4. Step 4: Simplify right side
    9,384x = 67,240,854.92
  5. Step 5: Solve for x
    x = 67,240,854.92/9,384
  6. Step 6: Final answer
    x = 7,165.48

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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.