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Finding the Fourth Proportional to 15,197.64, 22,804.64 and 7,406.46

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Solution

The fourth proportional to 15,197.64, 22,804.64 and 7,406.46 is: 11,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.64 : 22,804.64 = 7,406.46 : x
  2. Step 2: Convert to fraction form
    15,197.64/22,804.64 = 7,406.46/x
  3. Step 3: Cross multiply
    15,197.64x = 22,804.64 × 7,406.46
  4. Step 4: Simplify right side
    15,197.64x = 168,901,653.97
  5. Step 5: Solve for x
    x = 168,901,653.97/15,197.64
  6. Step 6: Final answer
    x = 11,113.68

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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.