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Finding the Fourth Proportional to 7,955.84, 11,910 and 6,562.64

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Solution

The fourth proportional to 7,955.84, 11,910 and 6,562.64 is: 9,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.84 : 11,910 = 6,562.64 : x
  2. Step 2: Convert to fraction form
    7,955.84/11,910 = 6,562.64/x
  3. Step 3: Cross multiply
    7,955.84x = 11,910 × 6,562.64
  4. Step 4: Simplify right side
    7,955.84x = 78,161,042.40
  5. Step 5: Solve for x
    x = 78,161,042.40/7,955.84
  6. Step 6: Final answer
    x = 9,824.36

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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.