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Finding the Fourth Proportional to 12,284.84, 16,952 and 6,832.86

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Solution

The fourth proportional to 12,284.84, 16,952 and 6,832.86 is: 9,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.84 : 16,952 = 6,832.86 : x
  2. Step 2: Convert to fraction form
    12,284.84/16,952 = 6,832.86/x
  3. Step 3: Cross multiply
    12,284.84x = 16,952 × 6,832.86
  4. Step 4: Simplify right side
    12,284.84x = 115,830,642.72
  5. Step 5: Solve for x
    x = 115,830,642.72/12,284.84
  6. Step 6: Final answer
    x = 9,428.75

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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.