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Finding the Fourth Proportional to 9,927.94, 13,700.02 and 5,452.28

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Solution

The fourth proportional to 9,927.94, 13,700.02 and 5,452.28 is: 7,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.94 : 13,700.02 = 5,452.28 : x
  2. Step 2: Convert to fraction form
    9,927.94/13,700.02 = 5,452.28/x
  3. Step 3: Cross multiply
    9,927.94x = 13,700.02 × 5,452.28
  4. Step 4: Simplify right side
    9,927.94x = 74,696,345.05
  5. Step 5: Solve for x
    x = 74,696,345.05/9,927.94
  6. Step 6: Final answer
    x = 7,523.85

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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.