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Finding the Fourth Proportional to 9,698.50, 13,383.93 and 5,282.50

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Solution

The fourth proportional to 9,698.50, 13,383.93 and 5,282.50 is: 7,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.50 : 13,383.93 = 5,282.50 : x
  2. Step 2: Convert to fraction form
    9,698.50/13,383.93 = 5,282.50/x
  3. Step 3: Cross multiply
    9,698.50x = 13,383.93 × 5,282.50
  4. Step 4: Simplify right side
    9,698.50x = 70,700,610.23
  5. Step 5: Solve for x
    x = 70,700,610.23/9,698.50
  6. Step 6: Final answer
    x = 7,289.85

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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.