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Finding the Fourth Proportional to 10,788.48, 14,884.48 and 8,271.04

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Solution

The fourth proportional to 10,788.48, 14,884.48 and 8,271.04 is: 11,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.48 : 14,884.48 = 8,271.04 : x
  2. Step 2: Convert to fraction form
    10,788.48/14,884.48 = 8,271.04/x
  3. Step 3: Cross multiply
    10,788.48x = 14,884.48 × 8,271.04
  4. Step 4: Simplify right side
    10,788.48x = 123,110,129.46
  5. Step 5: Solve for x
    x = 123,110,129.46/10,788.48
  6. Step 6: Final answer
    x = 11,411.26

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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.