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Finding the Fourth Proportional to 7,802.73, 11,707.13 and 3,417.09

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Solution

The fourth proportional to 7,802.73, 11,707.13 and 3,417.09 is: 5,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.73 : 11,707.13 = 3,417.09 : x
  2. Step 2: Convert to fraction form
    7,802.73/11,707.13 = 3,417.09/x
  3. Step 3: Cross multiply
    7,802.73x = 11,707.13 × 3,417.09
  4. Step 4: Simplify right side
    7,802.73x = 40,004,281.49
  5. Step 5: Solve for x
    x = 40,004,281.49/7,802.73
  6. Step 6: Final answer
    x = 5,126.96

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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.