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Finding the Fourth Proportional to 14,402.66, 21,602.16 and 5,643.72

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Solution

The fourth proportional to 14,402.66, 21,602.16 and 5,643.72 is: 8,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.66 : 21,602.16 = 5,643.72 : x
  2. Step 2: Convert to fraction form
    14,402.66/21,602.16 = 5,643.72/x
  3. Step 3: Cross multiply
    14,402.66x = 21,602.16 × 5,643.72
  4. Step 4: Simplify right side
    14,402.66x = 121,916,542.44
  5. Step 5: Solve for x
    x = 121,916,542.44/14,402.66
  6. Step 6: Final answer
    x = 8,464.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.