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Finding the Fourth Proportional to 7,284.76, 10,941.18 and 6,470.08

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Solution

The fourth proportional to 7,284.76, 10,941.18 and 6,470.08 is: 9,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.76 : 10,941.18 = 6,470.08 : x
  2. Step 2: Convert to fraction form
    7,284.76/10,941.18 = 6,470.08/x
  3. Step 3: Cross multiply
    7,284.76x = 10,941.18 × 6,470.08
  4. Step 4: Simplify right side
    7,284.76x = 70,790,309.89
  5. Step 5: Solve for x
    x = 70,790,309.89/7,284.76
  6. Step 6: Final answer
    x = 9,717.59

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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.