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Finding the Fourth Proportional to 17,009.64, 23,470.88 and 9,934.70

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Solution

The fourth proportional to 17,009.64, 23,470.88 and 9,934.70 is: 13,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.64 : 23,470.88 = 9,934.70 : x
  2. Step 2: Convert to fraction form
    17,009.64/23,470.88 = 9,934.70/x
  3. Step 3: Cross multiply
    17,009.64x = 23,470.88 × 9,934.70
  4. Step 4: Simplify right side
    17,009.64x = 233,175,984.51
  5. Step 5: Solve for x
    x = 233,175,984.51/17,009.64
  6. Step 6: Final answer
    x = 13,708.46

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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.