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Finding the Fourth Proportional to 5,004.23, 7,507.76 and 5,004.23

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Solution

The fourth proportional to 5,004.23, 7,507.76 and 5,004.23 is: 7,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.23 : 7,507.76 = 5,004.23 : x
  2. Step 2: Convert to fraction form
    5,004.23/7,507.76 = 5,004.23/x
  3. Step 3: Cross multiply
    5,004.23x = 7,507.76 × 5,004.23
  4. Step 4: Simplify right side
    5,004.23x = 37,570,495.26
  5. Step 5: Solve for x
    x = 37,570,495.26/5,004.23
  6. Step 6: Final answer
    x = 7,507.76

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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.