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Finding the Fourth Proportional to 17,983, 24,816.64 and 9,806.56

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Solution

The fourth proportional to 17,983, 24,816.64 and 9,806.56 is: 13,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,983 : 24,816.64 = 9,806.56 : x
  2. Step 2: Convert to fraction form
    17,983/24,816.64 = 9,806.56/x
  3. Step 3: Cross multiply
    17,983x = 24,816.64 × 9,806.56
  4. Step 4: Simplify right side
    17,983x = 243,365,869.16
  5. Step 5: Solve for x
    x = 243,365,869.16/17,983
  6. Step 6: Final answer
    x = 13,533.11

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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.