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Finding the Fourth Proportional to 7,597.64, 11,414.73 and 7,178.06

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Solution

The fourth proportional to 7,597.64, 11,414.73 and 7,178.06 is: 10,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.64 : 11,414.73 = 7,178.06 : x
  2. Step 2: Convert to fraction form
    7,597.64/11,414.73 = 7,178.06/x
  3. Step 3: Cross multiply
    7,597.64x = 11,414.73 × 7,178.06
  4. Step 4: Simplify right side
    7,597.64x = 81,935,616.82
  5. Step 5: Solve for x
    x = 81,935,616.82/7,597.64
  6. Step 6: Final answer
    x = 10,784.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.