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Finding the Fourth Proportional to 13,968.02, 19,276.19 and 7,594.97

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Solution

The fourth proportional to 13,968.02, 19,276.19 and 7,594.97 is: 10,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,968.02 : 19,276.19 = 7,594.97 : x
  2. Step 2: Convert to fraction form
    13,968.02/19,276.19 = 7,594.97/x
  3. Step 3: Cross multiply
    13,968.02x = 19,276.19 × 7,594.97
  4. Step 4: Simplify right side
    13,968.02x = 146,402,084.76
  5. Step 5: Solve for x
    x = 146,402,084.76/13,968.02
  6. Step 6: Final answer
    x = 10,481.24

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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.