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Finding the Fourth Proportional to 9,813.96, 13,539.94 and 5,564.56

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Solution

The fourth proportional to 9,813.96, 13,539.94 and 5,564.56 is: 7,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.96 : 13,539.94 = 5,564.56 : x
  2. Step 2: Convert to fraction form
    9,813.96/13,539.94 = 5,564.56/x
  3. Step 3: Cross multiply
    9,813.96x = 13,539.94 × 5,564.56
  4. Step 4: Simplify right side
    9,813.96x = 75,343,808.53
  5. Step 5: Solve for x
    x = 75,343,808.53/9,813.96
  6. Step 6: Final answer
    x = 7,677.21

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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.