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Finding the Fourth Proportional to 9,277, 12,802.29 and 5,028.13

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Solution

The fourth proportional to 9,277, 12,802.29 and 5,028.13 is: 6,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277 : 12,802.29 = 5,028.13 : x
  2. Step 2: Convert to fraction form
    9,277/12,802.29 = 5,028.13/x
  3. Step 3: Cross multiply
    9,277x = 12,802.29 × 5,028.13
  4. Step 4: Simplify right side
    9,277x = 64,371,578.42
  5. Step 5: Solve for x
    x = 64,371,578.42/9,277
  6. Step 6: Final answer
    x = 6,938.84

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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.