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Finding the Fourth Proportional to 6,720.58, 9,263.61 and 4,566.46

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Solution

The fourth proportional to 6,720.58, 9,263.61 and 4,566.46 is: 6,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.58 : 9,263.61 = 4,566.46 : x
  2. Step 2: Convert to fraction form
    6,720.58/9,263.61 = 4,566.46/x
  3. Step 3: Cross multiply
    6,720.58x = 9,263.61 × 4,566.46
  4. Step 4: Simplify right side
    6,720.58x = 42,301,904.52
  5. Step 5: Solve for x
    x = 42,301,904.52/6,720.58
  6. Step 6: Final answer
    x = 6,294.38

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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.