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Finding the Fourth Proportional to 14,005, 19,327.14 and 9,045.64

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Solution

The fourth proportional to 14,005, 19,327.14 and 9,045.64 is: 12,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 19,327.14 = 9,045.64 : x
  2. Step 2: Convert to fraction form
    14,005/19,327.14 = 9,045.64/x
  3. Step 3: Cross multiply
    14,005x = 19,327.14 × 9,045.64
  4. Step 4: Simplify right side
    14,005x = 174,826,350.67
  5. Step 5: Solve for x
    x = 174,826,350.67/14,005
  6. Step 6: Final answer
    x = 12,483.14

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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.