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Finding the Fourth Proportional to 7,223.06, 10,849.16 and 4,307.06

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Solution

The fourth proportional to 7,223.06, 10,849.16 and 4,307.06 is: 6,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.06 : 10,849.16 = 4,307.06 : x
  2. Step 2: Convert to fraction form
    7,223.06/10,849.16 = 4,307.06/x
  3. Step 3: Cross multiply
    7,223.06x = 10,849.16 × 4,307.06
  4. Step 4: Simplify right side
    7,223.06x = 46,727,983.07
  5. Step 5: Solve for x
    x = 46,727,983.07/7,223.06
  6. Step 6: Final answer
    x = 6,469.28

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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.