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Finding the Fourth Proportional to 12,592.88, 17,378.20 and 7,004.08

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Solution

The fourth proportional to 12,592.88, 17,378.20 and 7,004.08 is: 9,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.88 : 17,378.20 = 7,004.08 : x
  2. Step 2: Convert to fraction form
    12,592.88/17,378.20 = 7,004.08/x
  3. Step 3: Cross multiply
    12,592.88x = 17,378.20 × 7,004.08
  4. Step 4: Simplify right side
    12,592.88x = 121,718,303.06
  5. Step 5: Solve for x
    x = 121,718,303.06/12,592.88
  6. Step 6: Final answer
    x = 9,665.64

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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.