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Finding the Fourth Proportional to 11,463.16, 15,816.28 and 6,986.64

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Solution

The fourth proportional to 11,463.16, 15,816.28 and 6,986.64 is: 9,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.16 : 15,816.28 = 6,986.64 : x
  2. Step 2: Convert to fraction form
    11,463.16/15,816.28 = 6,986.64/x
  3. Step 3: Cross multiply
    11,463.16x = 15,816.28 × 6,986.64
  4. Step 4: Simplify right side
    11,463.16x = 110,502,654.50
  5. Step 5: Solve for x
    x = 110,502,654.50/11,463.16
  6. Step 6: Final answer
    x = 9,639.81

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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.