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Finding the Fourth Proportional to 5,085.32, 6,975.74 and 5,039.24

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Solution

The fourth proportional to 5,085.32, 6,975.74 and 5,039.24 is: 6,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.32 : 6,975.74 = 5,039.24 : x
  2. Step 2: Convert to fraction form
    5,085.32/6,975.74 = 5,039.24/x
  3. Step 3: Cross multiply
    5,085.32x = 6,975.74 × 5,039.24
  4. Step 4: Simplify right side
    5,085.32x = 35,152,428.04
  5. Step 5: Solve for x
    x = 35,152,428.04/5,085.32
  6. Step 6: Final answer
    x = 6,912.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.