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Finding the Fourth Proportional to 9,293, 13,904.49 and 6,525.14

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Solution

The fourth proportional to 9,293, 13,904.49 and 6,525.14 is: 9,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293 : 13,904.49 = 6,525.14 : x
  2. Step 2: Convert to fraction form
    9,293/13,904.49 = 6,525.14/x
  3. Step 3: Cross multiply
    9,293x = 13,904.49 × 6,525.14
  4. Step 4: Simplify right side
    9,293x = 90,728,743.88
  5. Step 5: Solve for x
    x = 90,728,743.88/9,293
  6. Step 6: Final answer
    x = 9,763.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.