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Finding the Fourth Proportional to 9,984.60, 13,779.42 and 5,737.03

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Solution

The fourth proportional to 9,984.60, 13,779.42 and 5,737.03 is: 7,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.60 : 13,779.42 = 5,737.03 : x
  2. Step 2: Convert to fraction form
    9,984.60/13,779.42 = 5,737.03/x
  3. Step 3: Cross multiply
    9,984.60x = 13,779.42 × 5,737.03
  4. Step 4: Simplify right side
    9,984.60x = 79,052,889.96
  5. Step 5: Solve for x
    x = 79,052,889.96/9,984.60
  6. Step 6: Final answer
    x = 7,917.48

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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.