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Finding the Fourth Proportional to 5,005.23, 7,509.26 and 5,005.23

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Solution

The fourth proportional to 5,005.23, 7,509.26 and 5,005.23 is: 7,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.23 : 7,509.26 = 5,005.23 : x
  2. Step 2: Convert to fraction form
    5,005.23/7,509.26 = 5,005.23/x
  3. Step 3: Cross multiply
    5,005.23x = 7,509.26 × 5,005.23
  4. Step 4: Simplify right side
    5,005.23x = 37,585,573.43
  5. Step 5: Solve for x
    x = 37,585,573.43/5,005.23
  6. Step 6: Final answer
    x = 7,509.26

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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.