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Finding the Fourth Proportional to 9,895.18, 13,640.91 and 7,533.22

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Solution

The fourth proportional to 9,895.18, 13,640.91 and 7,533.22 is: 10,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.18 : 13,640.91 = 7,533.22 : x
  2. Step 2: Convert to fraction form
    9,895.18/13,640.91 = 7,533.22/x
  3. Step 3: Cross multiply
    9,895.18x = 13,640.91 × 7,533.22
  4. Step 4: Simplify right side
    9,895.18x = 102,759,976.03
  5. Step 5: Solve for x
    x = 102,759,976.03/9,895.18
  6. Step 6: Final answer
    x = 10,384.85

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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.