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Finding the Fourth Proportional to 9,656.68, 14,484.24 and 3,813.34

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Solution

The fourth proportional to 9,656.68, 14,484.24 and 3,813.34 is: 5,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.68 : 14,484.24 = 3,813.34 : x
  2. Step 2: Convert to fraction form
    9,656.68/14,484.24 = 3,813.34/x
  3. Step 3: Cross multiply
    9,656.68x = 14,484.24 × 3,813.34
  4. Step 4: Simplify right side
    9,656.68x = 55,233,331.76
  5. Step 5: Solve for x
    x = 55,233,331.76/9,656.68
  6. Step 6: Final answer
    x = 5,719.70

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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.