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Finding the Fourth Proportional to 12,184.63, 16,814.72 and 6,595.63

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Solution

The fourth proportional to 12,184.63, 16,814.72 and 6,595.63 is: 9,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.63 : 16,814.72 = 6,595.63 : x
  2. Step 2: Convert to fraction form
    12,184.63/16,814.72 = 6,595.63/x
  3. Step 3: Cross multiply
    12,184.63x = 16,814.72 × 6,595.63
  4. Step 4: Simplify right side
    12,184.63x = 110,903,646.13
  5. Step 5: Solve for x
    x = 110,903,646.13/12,184.63
  6. Step 6: Final answer
    x = 9,101.93

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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.