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Finding the Fourth Proportional to 7,785.88, 10,741.47 and 4,796.53

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Solution

The fourth proportional to 7,785.88, 10,741.47 and 4,796.53 is: 6,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.88 : 10,741.47 = 4,796.53 : x
  2. Step 2: Convert to fraction form
    7,785.88/10,741.47 = 4,796.53/x
  3. Step 3: Cross multiply
    7,785.88x = 10,741.47 × 4,796.53
  4. Step 4: Simplify right side
    7,785.88x = 51,521,783.10
  5. Step 5: Solve for x
    x = 51,521,783.10/7,785.88
  6. Step 6: Final answer
    x = 6,617.34

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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.