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Finding the Fourth Proportional to 8,962.41, 13,465.59 and 8,465.07

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Solution

The fourth proportional to 8,962.41, 13,465.59 and 8,465.07 is: 12,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.41 : 13,465.59 = 8,465.07 : x
  2. Step 2: Convert to fraction form
    8,962.41/13,465.59 = 8,465.07/x
  3. Step 3: Cross multiply
    8,962.41x = 13,465.59 × 8,465.07
  4. Step 4: Simplify right side
    8,962.41x = 113,987,161.94
  5. Step 5: Solve for x
    x = 113,987,161.94/8,962.41
  6. Step 6: Final answer
    x = 12,718.36

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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.