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Finding the Fourth Proportional to 11,563.66, 15,957.05 and 6,847.03

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Solution

The fourth proportional to 11,563.66, 15,957.05 and 6,847.03 is: 9,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.66 : 15,957.05 = 6,847.03 : x
  2. Step 2: Convert to fraction form
    11,563.66/15,957.05 = 6,847.03/x
  3. Step 3: Cross multiply
    11,563.66x = 15,957.05 × 6,847.03
  4. Step 4: Simplify right side
    11,563.66x = 109,258,424.29
  5. Step 5: Solve for x
    x = 109,258,424.29/11,563.66
  6. Step 6: Final answer
    x = 9,448.43

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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.