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Finding the Fourth Proportional to 9,794.08, 13,517.48 and 9,470.08

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Solution

The fourth proportional to 9,794.08, 13,517.48 and 9,470.08 is: 13,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.08 : 13,517.48 = 9,470.08 : x
  2. Step 2: Convert to fraction form
    9,794.08/13,517.48 = 9,470.08/x
  3. Step 3: Cross multiply
    9,794.08x = 13,517.48 × 9,470.08
  4. Step 4: Simplify right side
    9,794.08x = 128,011,617.00
  5. Step 5: Solve for x
    x = 128,011,617.00/9,794.08
  6. Step 6: Final answer
    x = 13,070.31

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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.