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Finding the Fourth Proportional to 9,907.08, 13,664.22 and 6,323.13

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Solution

The fourth proportional to 9,907.08, 13,664.22 and 6,323.13 is: 8,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.08 : 13,664.22 = 6,323.13 : x
  2. Step 2: Convert to fraction form
    9,907.08/13,664.22 = 6,323.13/x
  3. Step 3: Cross multiply
    9,907.08x = 13,664.22 × 6,323.13
  4. Step 4: Simplify right side
    9,907.08x = 86,400,639.41
  5. Step 5: Solve for x
    x = 86,400,639.41/9,907.08
  6. Step 6: Final answer
    x = 8,721.10

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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.