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Finding the Fourth Proportional to 11,454.84, 15,807.73 and 7,473.60

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Solution

The fourth proportional to 11,454.84, 15,807.73 and 7,473.60 is: 10,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.84 : 15,807.73 = 7,473.60 : x
  2. Step 2: Convert to fraction form
    11,454.84/15,807.73 = 7,473.60/x
  3. Step 3: Cross multiply
    11,454.84x = 15,807.73 × 7,473.60
  4. Step 4: Simplify right side
    11,454.84x = 118,140,650.93
  5. Step 5: Solve for x
    x = 118,140,650.93/11,454.84
  6. Step 6: Final answer
    x = 10,313.60

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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.