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Finding the Fourth Proportional to 9,637.76, 14,361.41 and 8,656.64

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Solution

The fourth proportional to 9,637.76, 14,361.41 and 8,656.64 is: 12,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.76 : 14,361.41 = 8,656.64 : x
  2. Step 2: Convert to fraction form
    9,637.76/14,361.41 = 8,656.64/x
  3. Step 3: Cross multiply
    9,637.76x = 14,361.41 × 8,656.64
  4. Step 4: Simplify right side
    9,637.76x = 124,321,556.26
  5. Step 5: Solve for x
    x = 124,321,556.26/9,637.76
  6. Step 6: Final answer
    x = 12,899.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.