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Finding the Fourth Proportional to 12,235.24, 16,885.02 and 6,646.24

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Solution

The fourth proportional to 12,235.24, 16,885.02 and 6,646.24 is: 9,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.24 : 16,885.02 = 6,646.24 : x
  2. Step 2: Convert to fraction form
    12,235.24/16,885.02 = 6,646.24/x
  3. Step 3: Cross multiply
    12,235.24x = 16,885.02 × 6,646.24
  4. Step 4: Simplify right side
    12,235.24x = 112,221,895.32
  5. Step 5: Solve for x
    x = 112,221,895.32/12,235.24
  6. Step 6: Final answer
    x = 9,172.02

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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.