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Finding the Fourth Proportional to 7,350.59, 10,146.93 and 4,697.39

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Solution

The fourth proportional to 7,350.59, 10,146.93 and 4,697.39 is: 6,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,350.59 : 10,146.93 = 4,697.39 : x
  2. Step 2: Convert to fraction form
    7,350.59/10,146.93 = 4,697.39/x
  3. Step 3: Cross multiply
    7,350.59x = 10,146.93 × 4,697.39
  4. Step 4: Simplify right side
    7,350.59x = 47,664,087.51
  5. Step 5: Solve for x
    x = 47,664,087.51/7,350.59
  6. Step 6: Final answer
    x = 6,484.39

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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.