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Finding the Fourth Proportional to 10,732.88, 16,080.54 and 7,448.06

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Solution

The fourth proportional to 10,732.88, 16,080.54 and 7,448.06 is: 11,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.88 : 16,080.54 = 7,448.06 : x
  2. Step 2: Convert to fraction form
    10,732.88/16,080.54 = 7,448.06/x
  3. Step 3: Cross multiply
    10,732.88x = 16,080.54 × 7,448.06
  4. Step 4: Simplify right side
    10,732.88x = 119,768,746.35
  5. Step 5: Solve for x
    x = 119,768,746.35/10,732.88
  6. Step 6: Final answer
    x = 11,159.06

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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.