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Finding the Fourth Proportional to 11,475.74, 15,838.76 and 6,696.24

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Solution

The fourth proportional to 11,475.74, 15,838.76 and 6,696.24 is: 9,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.74 : 15,838.76 = 6,696.24 : x
  2. Step 2: Convert to fraction form
    11,475.74/15,838.76 = 6,696.24/x
  3. Step 3: Cross multiply
    11,475.74x = 15,838.76 × 6,696.24
  4. Step 4: Simplify right side
    11,475.74x = 106,060,138.26
  5. Step 5: Solve for x
    x = 106,060,138.26/11,475.74
  6. Step 6: Final answer
    x = 9,242.12

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Half 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.