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Finding the Fourth Proportional to 7,969.86, 11,953.16 and 7,574.68

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Solution

The fourth proportional to 7,969.86, 11,953.16 and 7,574.68 is: 11,360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.86 : 11,953.16 = 7,574.68 : x
  2. Step 2: Convert to fraction form
    7,969.86/11,953.16 = 7,574.68/x
  3. Step 3: Cross multiply
    7,969.86x = 11,953.16 × 7,574.68
  4. Step 4: Simplify right side
    7,969.86x = 90,541,313.17
  5. Step 5: Solve for x
    x = 90,541,313.17/7,969.86
  6. Step 6: Final answer
    x = 11,360.47

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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.