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Finding the Fourth Proportional to 12,184.53, 16,814.63 and 6,595.53

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Solution

The fourth proportional to 12,184.53, 16,814.63 and 6,595.53 is: 9,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.53 : 16,814.63 = 6,595.53 : x
  2. Step 2: Convert to fraction form
    12,184.53/16,814.63 = 6,595.53/x
  3. Step 3: Cross multiply
    12,184.53x = 16,814.63 × 6,595.53
  4. Step 4: Simplify right side
    12,184.53x = 110,901,363.63
  5. Step 5: Solve for x
    x = 110,901,363.63/12,184.53
  6. Step 6: Final answer
    x = 9,101.82

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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.