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Finding the Fourth Proportional to 7,283.94, 10,934.58 and 6,986.88

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Solution

The fourth proportional to 7,283.94, 10,934.58 and 6,986.88 is: 10,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.94 : 10,934.58 = 6,986.88 : x
  2. Step 2: Convert to fraction form
    7,283.94/10,934.58 = 6,986.88/x
  3. Step 3: Cross multiply
    7,283.94x = 10,934.58 × 6,986.88
  4. Step 4: Simplify right side
    7,283.94x = 76,398,598.31
  5. Step 5: Solve for x
    x = 76,398,598.31/7,283.94
  6. Step 6: Final answer
    x = 10,488.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.