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Finding the Fourth Proportional to 7,089.96, 9,784.62 and 3,946.16

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Solution

The fourth proportional to 7,089.96, 9,784.62 and 3,946.16 is: 5,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.96 : 9,784.62 = 3,946.16 : x
  2. Step 2: Convert to fraction form
    7,089.96/9,784.62 = 3,946.16/x
  3. Step 3: Cross multiply
    7,089.96x = 9,784.62 × 3,946.16
  4. Step 4: Simplify right side
    7,089.96x = 38,611,676.06
  5. Step 5: Solve for x
    x = 38,611,676.06/7,089.96
  6. Step 6: Final answer
    x = 5,445.97

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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.