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Finding the Fourth Proportional to 13,282.64, 19,913.40 and 9,112.40

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Solution

The fourth proportional to 13,282.64, 19,913.40 and 9,112.40 is: 13,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.64 : 19,913.40 = 9,112.40 : x
  2. Step 2: Convert to fraction form
    13,282.64/19,913.40 = 9,112.40/x
  3. Step 3: Cross multiply
    13,282.64x = 19,913.40 × 9,112.40
  4. Step 4: Simplify right side
    13,282.64x = 181,458,866.16
  5. Step 5: Solve for x
    x = 181,458,866.16/13,282.64
  6. Step 6: Final answer
    x = 13,661.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.