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Finding the Fourth Proportional to 16,497.36, 22,768.02 and 9,784.08

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Solution

The fourth proportional to 16,497.36, 22,768.02 and 9,784.08 is: 13,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.36 : 22,768.02 = 9,784.08 : x
  2. Step 2: Convert to fraction form
    16,497.36/22,768.02 = 9,784.08/x
  3. Step 3: Cross multiply
    16,497.36x = 22,768.02 × 9,784.08
  4. Step 4: Simplify right side
    16,497.36x = 222,764,129.12
  5. Step 5: Solve for x
    x = 222,764,129.12/16,497.36
  6. Step 6: Final answer
    x = 13,503.02

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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.