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Finding the Fourth Proportional to 9,787.14, 13,506.16 and 5,538.22

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Solution

The fourth proportional to 9,787.14, 13,506.16 and 5,538.22 is: 7,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.14 : 13,506.16 = 5,538.22 : x
  2. Step 2: Convert to fraction form
    9,787.14/13,506.16 = 5,538.22/x
  3. Step 3: Cross multiply
    9,787.14x = 13,506.16 × 5,538.22
  4. Step 4: Simplify right side
    9,787.14x = 74,800,085.44
  5. Step 5: Solve for x
    x = 74,800,085.44/9,787.14
  6. Step 6: Final answer
    x = 7,642.69

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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.