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Finding the Fourth Proportional to 10,752.04, 14,843.98 and 7,166.04

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Solution

The fourth proportional to 10,752.04, 14,843.98 and 7,166.04 is: 9,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.04 : 14,843.98 = 7,166.04 : x
  2. Step 2: Convert to fraction form
    10,752.04/14,843.98 = 7,166.04/x
  3. Step 3: Cross multiply
    10,752.04x = 14,843.98 × 7,166.04
  4. Step 4: Simplify right side
    10,752.04x = 106,372,554.44
  5. Step 5: Solve for x
    x = 106,372,554.44/10,752.04
  6. Step 6: Final answer
    x = 9,893.24

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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.