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Finding the Fourth Proportional to 10,574.22, 14,585.81 and 6,802.30

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Solution

The fourth proportional to 10,574.22, 14,585.81 and 6,802.30 is: 9,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.22 : 14,585.81 = 6,802.30 : x
  2. Step 2: Convert to fraction form
    10,574.22/14,585.81 = 6,802.30/x
  3. Step 3: Cross multiply
    10,574.22x = 14,585.81 × 6,802.30
  4. Step 4: Simplify right side
    10,574.22x = 99,216,948.42
  5. Step 5: Solve for x
    x = 99,216,948.42/10,574.22
  6. Step 6: Final answer
    x = 9,382.91

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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.