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Finding the Fourth Proportional to 10,802.63, 14,907.62 and 5,834.63

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Solution

The fourth proportional to 10,802.63, 14,907.62 and 5,834.63 is: 8,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.63 : 14,907.62 = 5,834.63 : x
  2. Step 2: Convert to fraction form
    10,802.63/14,907.62 = 5,834.63/x
  3. Step 3: Cross multiply
    10,802.63x = 14,907.62 × 5,834.63
  4. Step 4: Simplify right side
    10,802.63x = 86,980,446.88
  5. Step 5: Solve for x
    x = 86,980,446.88/10,802.63
  6. Step 6: Final answer
    x = 8,051.78

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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.