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Finding the Fourth Proportional to 12,668.16, 17,478 and 7,078.08

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Solution

The fourth proportional to 12,668.16, 17,478 and 7,078.08 is: 9,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.16 : 17,478 = 7,078.08 : x
  2. Step 2: Convert to fraction form
    12,668.16/17,478 = 7,078.08/x
  3. Step 3: Cross multiply
    12,668.16x = 17,478 × 7,078.08
  4. Step 4: Simplify right side
    12,668.16x = 123,710,682.24
  5. Step 5: Solve for x
    x = 123,710,682.24/12,668.16
  6. Step 6: Final answer
    x = 9,765.48

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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.