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Finding the Fourth Proportional to 6,407.94, 9,602.19 and 4,756.77

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Solution

The fourth proportional to 6,407.94, 9,602.19 and 4,756.77 is: 7,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.94 : 9,602.19 = 4,756.77 : x
  2. Step 2: Convert to fraction form
    6,407.94/9,602.19 = 4,756.77/x
  3. Step 3: Cross multiply
    6,407.94x = 9,602.19 × 4,756.77
  4. Step 4: Simplify right side
    6,407.94x = 45,675,409.33
  5. Step 5: Solve for x
    x = 45,675,409.33/6,407.94
  6. Step 6: Final answer
    x = 7,127.94

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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.