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Finding the Fourth Proportional to 6,948.77, 9,585.72 and 4,709.88

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Solution

The fourth proportional to 6,948.77, 9,585.72 and 4,709.88 is: 6,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.77 : 9,585.72 = 4,709.88 : x
  2. Step 2: Convert to fraction form
    6,948.77/9,585.72 = 4,709.88/x
  3. Step 3: Cross multiply
    6,948.77x = 9,585.72 × 4,709.88
  4. Step 4: Simplify right side
    6,948.77x = 45,147,590.91
  5. Step 5: Solve for x
    x = 45,147,590.91/6,948.77
  6. Step 6: Final answer
    x = 6,497.21

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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.