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Finding the Fourth Proportional to 9,701.50, 13,388.07 and 5,285.50

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Solution

The fourth proportional to 9,701.50, 13,388.07 and 5,285.50 is: 7,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.50 : 13,388.07 = 5,285.50 : x
  2. Step 2: Convert to fraction form
    9,701.50/13,388.07 = 5,285.50/x
  3. Step 3: Cross multiply
    9,701.50x = 13,388.07 × 5,285.50
  4. Step 4: Simplify right side
    9,701.50x = 70,762,643.99
  5. Step 5: Solve for x
    x = 70,762,643.99/9,701.50
  6. Step 6: Final answer
    x = 7,293.99

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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.