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Finding the Fourth Proportional to 11,097.16, 15,303.93 and 8,674.84

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Solution

The fourth proportional to 11,097.16, 15,303.93 and 8,674.84 is: 11,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.16 : 15,303.93 = 8,674.84 : x
  2. Step 2: Convert to fraction form
    11,097.16/15,303.93 = 8,674.84/x
  3. Step 3: Cross multiply
    11,097.16x = 15,303.93 × 8,674.84
  4. Step 4: Simplify right side
    11,097.16x = 132,759,163.25
  5. Step 5: Solve for x
    x = 132,759,163.25/11,097.16
  6. Step 6: Final answer
    x = 11,963.35

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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.