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Finding the Fourth Proportional to 8,467.53, 11,707.47 and 7,416.57

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Solution

The fourth proportional to 8,467.53, 11,707.47 and 7,416.57 is: 10,254.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.53 : 11,707.47 = 7,416.57 : x
  2. Step 2: Convert to fraction form
    8,467.53/11,707.47 = 7,416.57/x
  3. Step 3: Cross multiply
    8,467.53x = 11,707.47 × 7,416.57
  4. Step 4: Simplify right side
    8,467.53x = 86,829,270.78
  5. Step 5: Solve for x
    x = 86,829,270.78/8,467.53
  6. Step 6: Final answer
    x = 10,254.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.