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Finding the Fourth Proportional to 9,970.31, 13,752.94 and 5,934.43

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Solution

The fourth proportional to 9,970.31, 13,752.94 and 5,934.43 is: 8,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.31 : 13,752.94 = 5,934.43 : x
  2. Step 2: Convert to fraction form
    9,970.31/13,752.94 = 5,934.43/x
  3. Step 3: Cross multiply
    9,970.31x = 13,752.94 × 5,934.43
  4. Step 4: Simplify right side
    9,970.31x = 81,615,832.76
  5. Step 5: Solve for x
    x = 81,615,832.76/9,970.31
  6. Step 6: Final answer
    x = 8,185.89

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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.