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Finding the Fourth Proportional to 10,802.95, 14,907.97 and 6,022.83

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Solution

The fourth proportional to 10,802.95, 14,907.97 and 6,022.83 is: 8,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.95 : 14,907.97 = 6,022.83 : x
  2. Step 2: Convert to fraction form
    10,802.95/14,907.97 = 6,022.83/x
  3. Step 3: Cross multiply
    10,802.95x = 14,907.97 × 6,022.83
  4. Step 4: Simplify right side
    10,802.95x = 89,788,168.96
  5. Step 5: Solve for x
    x = 89,788,168.96/10,802.95
  6. Step 6: Final answer
    x = 8,311.45

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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.