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Finding the Fourth Proportional to 9,203.70, 13,794.54 and 5,300.04

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Solution

The fourth proportional to 9,203.70, 13,794.54 and 5,300.04 is: 7,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.70 : 13,794.54 = 5,300.04 : x
  2. Step 2: Convert to fraction form
    9,203.70/13,794.54 = 5,300.04/x
  3. Step 3: Cross multiply
    9,203.70x = 13,794.54 × 5,300.04
  4. Step 4: Simplify right side
    9,203.70x = 73,111,613.78
  5. Step 5: Solve for x
    x = 73,111,613.78/9,203.70
  6. Step 6: Final answer
    x = 7,943.72

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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.