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Finding the Fourth Proportional to 7,823.08, 10,773.10 and 7,322.81

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Solution

The fourth proportional to 7,823.08, 10,773.10 and 7,322.81 is: 10,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.08 : 10,773.10 = 7,322.81 : x
  2. Step 2: Convert to fraction form
    7,823.08/10,773.10 = 7,322.81/x
  3. Step 3: Cross multiply
    7,823.08x = 10,773.10 × 7,322.81
  4. Step 4: Simplify right side
    7,823.08x = 78,889,319.70
  5. Step 5: Solve for x
    x = 78,889,319.70/7,823.08
  6. Step 6: Final answer
    x = 10,084.17

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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.