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Finding the Fourth Proportional to 12,184.64, 16,814.86 and 6,595.64

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Solution

The fourth proportional to 12,184.64, 16,814.86 and 6,595.64 is: 9,102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.64 : 16,814.86 = 6,595.64 : x
  2. Step 2: Convert to fraction form
    12,184.64/16,814.86 = 6,595.64/x
  3. Step 3: Cross multiply
    12,184.64x = 16,814.86 × 6,595.64
  4. Step 4: Simplify right side
    12,184.64x = 110,904,788.76
  5. Step 5: Solve for x
    x = 110,904,788.76/12,184.64
  6. Step 6: Final answer
    x = 9,102.01

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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.