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Finding the Fourth Proportional to 9,886.66, 13,641.42 and 5,907.16

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Solution

The fourth proportional to 9,886.66, 13,641.42 and 5,907.16 is: 8,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.66 : 13,641.42 = 5,907.16 : x
  2. Step 2: Convert to fraction form
    9,886.66/13,641.42 = 5,907.16/x
  3. Step 3: Cross multiply
    9,886.66x = 13,641.42 × 5,907.16
  4. Step 4: Simplify right side
    9,886.66x = 80,582,050.57
  5. Step 5: Solve for x
    x = 80,582,050.57/9,886.66
  6. Step 6: Final answer
    x = 8,150.58

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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.