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Finding the Fourth Proportional to 10,039.54, 13,855.53 and 5,564.26

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Solution

The fourth proportional to 10,039.54, 13,855.53 and 5,564.26 is: 7,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.54 : 13,855.53 = 5,564.26 : x
  2. Step 2: Convert to fraction form
    10,039.54/13,855.53 = 5,564.26/x
  3. Step 3: Cross multiply
    10,039.54x = 13,855.53 × 5,564.26
  4. Step 4: Simplify right side
    10,039.54x = 77,095,771.36
  5. Step 5: Solve for x
    x = 77,095,771.36/10,039.54
  6. Step 6: Final answer
    x = 7,679.21

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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.