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Finding the Fourth Proportional to 6,946.95, 9,582.17 and 4,958.62

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Solution

The fourth proportional to 6,946.95, 9,582.17 and 4,958.62 is: 6,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.95 : 9,582.17 = 4,958.62 : x
  2. Step 2: Convert to fraction form
    6,946.95/9,582.17 = 4,958.62/x
  3. Step 3: Cross multiply
    6,946.95x = 9,582.17 × 4,958.62
  4. Step 4: Simplify right side
    6,946.95x = 47,514,345.58
  5. Step 5: Solve for x
    x = 47,514,345.58/6,946.95
  6. Step 6: Final answer
    x = 6,839.60

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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.