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Finding the Fourth Proportional to 4,707.10, 6,581.30 and 4,707.10

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Solution

The fourth proportional to 4,707.10, 6,581.30 and 4,707.10 is: 6,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.10 : 6,581.30 = 4,707.10 : x
  2. Step 2: Convert to fraction form
    4,707.10/6,581.30 = 4,707.10/x
  3. Step 3: Cross multiply
    4,707.10x = 6,581.30 × 4,707.10
  4. Step 4: Simplify right side
    4,707.10x = 30,978,837.23
  5. Step 5: Solve for x
    x = 30,978,837.23/4,707.10
  6. Step 6: Final answer
    x = 6,581.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.