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Finding the Fourth Proportional to 10,213.13, 14,095.53 and 5,737.22

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Solution

The fourth proportional to 10,213.13, 14,095.53 and 5,737.22 is: 7,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.13 : 14,095.53 = 5,737.22 : x
  2. Step 2: Convert to fraction form
    10,213.13/14,095.53 = 5,737.22/x
  3. Step 3: Cross multiply
    10,213.13x = 14,095.53 × 5,737.22
  4. Step 4: Simplify right side
    10,213.13x = 80,869,156.63
  5. Step 5: Solve for x
    x = 80,869,156.63/10,213.13
  6. Step 6: Final answer
    x = 7,918.16

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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.