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Finding the Fourth Proportional to 5,082.32, 6,971.62 and 5,036.24

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Solution

The fourth proportional to 5,082.32, 6,971.62 and 5,036.24 is: 6,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.32 : 6,971.62 = 5,036.24 : x
  2. Step 2: Convert to fraction form
    5,082.32/6,971.62 = 5,036.24/x
  3. Step 3: Cross multiply
    5,082.32x = 6,971.62 × 5,036.24
  4. Step 4: Simplify right side
    5,082.32x = 35,110,751.51
  5. Step 5: Solve for x
    x = 35,110,751.51/5,082.32
  6. Step 6: Final answer
    x = 6,908.41

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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.