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Finding the Fourth Proportional to 7,164.29, 10,736.05 and 5,088.36

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Solution

The fourth proportional to 7,164.29, 10,736.05 and 5,088.36 is: 7,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.29 : 10,736.05 = 5,088.36 : x
  2. Step 2: Convert to fraction form
    7,164.29/10,736.05 = 5,088.36/x
  3. Step 3: Cross multiply
    7,164.29x = 10,736.05 × 5,088.36
  4. Step 4: Simplify right side
    7,164.29x = 54,628,887.38
  5. Step 5: Solve for x
    x = 54,628,887.38/7,164.29
  6. Step 6: Final answer
    x = 7,625.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.