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Finding the Fourth Proportional to 6,953.59, 9,595.75 and 3,809.71

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Solution

The fourth proportional to 6,953.59, 9,595.75 and 3,809.71 is: 5,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.59 : 9,595.75 = 3,809.71 : x
  2. Step 2: Convert to fraction form
    6,953.59/9,595.75 = 3,809.71/x
  3. Step 3: Cross multiply
    6,953.59x = 9,595.75 × 3,809.71
  4. Step 4: Simplify right side
    6,953.59x = 36,556,957.71
  5. Step 5: Solve for x
    x = 36,556,957.71/6,953.59
  6. Step 6: Final answer
    x = 5,257.28

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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.