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Finding the Fourth Proportional to 7,955.67, 10,978.04 and 4,768.13

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Solution

The fourth proportional to 7,955.67, 10,978.04 and 4,768.13 is: 6,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.67 : 10,978.04 = 4,768.13 : x
  2. Step 2: Convert to fraction form
    7,955.67/10,978.04 = 4,768.13/x
  3. Step 3: Cross multiply
    7,955.67x = 10,978.04 × 4,768.13
  4. Step 4: Simplify right side
    7,955.67x = 52,344,643.13
  5. Step 5: Solve for x
    x = 52,344,643.13/7,955.67
  6. Step 6: Final answer
    x = 6,579.54

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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.