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Finding the Fourth Proportional to 9,643.56, 14,468.12 and 4,020.24

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Solution

The fourth proportional to 9,643.56, 14,468.12 and 4,020.24 is: 6,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.56 : 14,468.12 = 4,020.24 : x
  2. Step 2: Convert to fraction form
    9,643.56/14,468.12 = 4,020.24/x
  3. Step 3: Cross multiply
    9,643.56x = 14,468.12 × 4,020.24
  4. Step 4: Simplify right side
    9,643.56x = 58,165,314.75
  5. Step 5: Solve for x
    x = 58,165,314.75/9,643.56
  6. Step 6: Final answer
    x = 6,031.52

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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.