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Finding the Fourth Proportional to 9,886.14, 13,643.07 and 5,907.26

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Solution

The fourth proportional to 9,886.14, 13,643.07 and 5,907.26 is: 8,152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.14 : 13,643.07 = 5,907.26 : x
  2. Step 2: Convert to fraction form
    9,886.14/13,643.07 = 5,907.26/x
  3. Step 3: Cross multiply
    9,886.14x = 13,643.07 × 5,907.26
  4. Step 4: Simplify right side
    9,886.14x = 80,593,093.47
  5. Step 5: Solve for x
    x = 80,593,093.47/9,886.14
  6. Step 6: Final answer
    x = 8,152.13

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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.