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Finding the Fourth Proportional to 8,657.14, 11,944.04 and 5,296.45

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Solution

The fourth proportional to 8,657.14, 11,944.04 and 5,296.45 is: 7,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.14 : 11,944.04 = 5,296.45 : x
  2. Step 2: Convert to fraction form
    8,657.14/11,944.04 = 5,296.45/x
  3. Step 3: Cross multiply
    8,657.14x = 11,944.04 × 5,296.45
  4. Step 4: Simplify right side
    8,657.14x = 63,260,994.04
  5. Step 5: Solve for x
    x = 63,260,994.04/8,657.14
  6. Step 6: Final answer
    x = 7,307.38

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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.