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Finding the Fourth Proportional to 7,208.29, 9,941.74 and 4,691.22

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Solution

The fourth proportional to 7,208.29, 9,941.74 and 4,691.22 is: 6,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.29 : 9,941.74 = 4,691.22 : x
  2. Step 2: Convert to fraction form
    7,208.29/9,941.74 = 4,691.22/x
  3. Step 3: Cross multiply
    7,208.29x = 9,941.74 × 4,691.22
  4. Step 4: Simplify right side
    7,208.29x = 46,638,840.51
  5. Step 5: Solve for x
    x = 46,638,840.51/7,208.29
  6. Step 6: Final answer
    x = 6,470.17

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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.