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Finding the Fourth Proportional to 9,802.77, 13,523.29 and 5,821.62

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Solution

The fourth proportional to 9,802.77, 13,523.29 and 5,821.62 is: 8,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.77 : 13,523.29 = 5,821.62 : x
  2. Step 2: Convert to fraction form
    9,802.77/13,523.29 = 5,821.62/x
  3. Step 3: Cross multiply
    9,802.77x = 13,523.29 × 5,821.62
  4. Step 4: Simplify right side
    9,802.77x = 78,727,455.53
  5. Step 5: Solve for x
    x = 78,727,455.53/9,802.77
  6. Step 6: Final answer
    x = 8,031.14

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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.