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Finding the Fourth Proportional to 8,422.33, 12,633.46 and 6,575

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Solution

The fourth proportional to 8,422.33, 12,633.46 and 6,575 is: 9,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.33 : 12,633.46 = 6,575 : x
  2. Step 2: Convert to fraction form
    8,422.33/12,633.46 = 6,575/x
  3. Step 3: Cross multiply
    8,422.33x = 12,633.46 × 6,575
  4. Step 4: Simplify right side
    8,422.33x = 83,064,999.50
  5. Step 5: Solve for x
    x = 83,064,999.50/8,422.33
  6. Step 6: Final answer
    x = 9,862.47

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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.