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Finding the Fourth Proportional to 11,573.94, 15,965.74 and 7,317.19

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Solution

The fourth proportional to 11,573.94, 15,965.74 and 7,317.19 is: 10,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.94 : 15,965.74 = 7,317.19 : x
  2. Step 2: Convert to fraction form
    11,573.94/15,965.74 = 7,317.19/x
  3. Step 3: Cross multiply
    11,573.94x = 15,965.74 × 7,317.19
  4. Step 4: Simplify right side
    11,573.94x = 116,824,353.07
  5. Step 5: Solve for x
    x = 116,824,353.07/11,573.94
  6. Step 6: Final answer
    x = 10,093.74

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Double scale
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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.