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Finding the Fourth Proportional to 8,496.95, 11,718 and 5,624.46

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Solution

The fourth proportional to 8,496.95, 11,718 and 5,624.46 is: 7,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.95 : 11,718 = 5,624.46 : x
  2. Step 2: Convert to fraction form
    8,496.95/11,718 = 5,624.46/x
  3. Step 3: Cross multiply
    8,496.95x = 11,718 × 5,624.46
  4. Step 4: Simplify right side
    8,496.95x = 65,907,422.28
  5. Step 5: Solve for x
    x = 65,907,422.28/8,496.95
  6. Step 6: Final answer
    x = 7,756.60

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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.