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Finding the Fourth Proportional to 7,696.96, 10,614.72 and 5,043.40

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Solution

The fourth proportional to 7,696.96, 10,614.72 and 5,043.40 is: 6,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.96 : 10,614.72 = 5,043.40 : x
  2. Step 2: Convert to fraction form
    7,696.96/10,614.72 = 5,043.40/x
  3. Step 3: Cross multiply
    7,696.96x = 10,614.72 × 5,043.40
  4. Step 4: Simplify right side
    7,696.96x = 53,534,278.85
  5. Step 5: Solve for x
    x = 53,534,278.85/7,696.96
  6. Step 6: Final answer
    x = 6,955.25

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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.