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Finding the Fourth Proportional to 7,223.88, 9,965.27 and 4,710.20

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Solution

The fourth proportional to 7,223.88, 9,965.27 and 4,710.20 is: 6,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.88 : 9,965.27 = 4,710.20 : x
  2. Step 2: Convert to fraction form
    7,223.88/9,965.27 = 4,710.20/x
  3. Step 3: Cross multiply
    7,223.88x = 9,965.27 × 4,710.20
  4. Step 4: Simplify right side
    7,223.88x = 46,938,341.38
  5. Step 5: Solve for x
    x = 46,938,341.38/7,223.88
  6. Step 6: Final answer
    x = 6,497.66

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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.