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Finding the Fourth Proportional to 12,199.01, 16,833.62 and 6,895.13

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Solution

The fourth proportional to 12,199.01, 16,833.62 and 6,895.13 is: 9,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.01 : 16,833.62 = 6,895.13 : x
  2. Step 2: Convert to fraction form
    12,199.01/16,833.62 = 6,895.13/x
  3. Step 3: Cross multiply
    12,199.01x = 16,833.62 × 6,895.13
  4. Step 4: Simplify right side
    12,199.01x = 116,069,931.34
  5. Step 5: Solve for x
    x = 116,069,931.34/12,199.01
  6. Step 6: Final answer
    x = 9,514.70

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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.