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Finding the Fourth Proportional to 10,802.22, 14,907.07 and 5,834.22

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Solution

The fourth proportional to 10,802.22, 14,907.07 and 5,834.22 is: 8,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.22 : 14,907.07 = 5,834.22 : x
  2. Step 2: Convert to fraction form
    10,802.22/14,907.07 = 5,834.22/x
  3. Step 3: Cross multiply
    10,802.22x = 14,907.07 × 5,834.22
  4. Step 4: Simplify right side
    10,802.22x = 86,971,096.76
  5. Step 5: Solve for x
    x = 86,971,096.76/10,802.22
  6. Step 6: Final answer
    x = 8,051.22

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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.