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Finding the Fourth Proportional to 14,497.80, 21,741.30 and 5,730.90

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Solution

The fourth proportional to 14,497.80, 21,741.30 and 5,730.90 is: 8,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.80 : 21,741.30 = 5,730.90 : x
  2. Step 2: Convert to fraction form
    14,497.80/21,741.30 = 5,730.90/x
  3. Step 3: Cross multiply
    14,497.80x = 21,741.30 × 5,730.90
  4. Step 4: Simplify right side
    14,497.80x = 124,597,216.17
  5. Step 5: Solve for x
    x = 124,597,216.17/14,497.80
  6. Step 6: Final answer
    x = 8,594.22

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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.