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Finding the Fourth Proportional to 10,753.84, 16,097.93 and 7,973.61

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Solution

The fourth proportional to 10,753.84, 16,097.93 and 7,973.61 is: 11,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.84 : 16,097.93 = 7,973.61 : x
  2. Step 2: Convert to fraction form
    10,753.84/16,097.93 = 7,973.61/x
  3. Step 3: Cross multiply
    10,753.84x = 16,097.93 × 7,973.61
  4. Step 4: Simplify right side
    10,753.84x = 128,358,615.63
  5. Step 5: Solve for x
    x = 128,358,615.63/10,753.84
  6. Step 6: Final answer
    x = 11,936.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.