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Finding the Fourth Proportional to 9,223.80, 13,803.30 and 6,307.80

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Solution

The fourth proportional to 9,223.80, 13,803.30 and 6,307.80 is: 9,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.80 : 13,803.30 = 6,307.80 : x
  2. Step 2: Convert to fraction form
    9,223.80/13,803.30 = 6,307.80/x
  3. Step 3: Cross multiply
    9,223.80x = 13,803.30 × 6,307.80
  4. Step 4: Simplify right side
    9,223.80x = 87,068,455.74
  5. Step 5: Solve for x
    x = 87,068,455.74/9,223.80
  6. Step 6: Final answer
    x = 9,439.54

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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.