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Finding the Fourth Proportional to 9,223.80, 13,835.70 and 8,567.70

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Solution

The fourth proportional to 9,223.80, 13,835.70 and 8,567.70 is: 12,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.80 : 13,835.70 = 8,567.70 : x
  2. Step 2: Convert to fraction form
    9,223.80/13,835.70 = 8,567.70/x
  3. Step 3: Cross multiply
    9,223.80x = 13,835.70 × 8,567.70
  4. Step 4: Simplify right side
    9,223.80x = 118,540,126.89
  5. Step 5: Solve for x
    x = 118,540,126.89/9,223.80
  6. Step 6: Final answer
    x = 12,851.55

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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.