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Finding the Fourth Proportional to 6,946.35, 9,585.35 and 3,921.30

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Solution

The fourth proportional to 6,946.35, 9,585.35 and 3,921.30 is: 5,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.35 : 9,585.35 = 3,921.30 : x
  2. Step 2: Convert to fraction form
    6,946.35/9,585.35 = 3,921.30/x
  3. Step 3: Cross multiply
    6,946.35x = 9,585.35 × 3,921.30
  4. Step 4: Simplify right side
    6,946.35x = 37,587,023.15
  5. Step 5: Solve for x
    x = 37,587,023.15/6,946.35
  6. Step 6: Final answer
    x = 5,411.05

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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.