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Finding the Fourth Proportional to 11,273.60, 15,563 and 7,503.04

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Solution

The fourth proportional to 11,273.60, 15,563 and 7,503.04 is: 10,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,273.60 : 15,563 = 7,503.04 : x
  2. Step 2: Convert to fraction form
    11,273.60/15,563 = 7,503.04/x
  3. Step 3: Cross multiply
    11,273.60x = 15,563 × 7,503.04
  4. Step 4: Simplify right side
    11,273.60x = 116,769,811.52
  5. Step 5: Solve for x
    x = 116,769,811.52/11,273.60
  6. Step 6: Final answer
    x = 10,357.81

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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.