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Finding the Fourth Proportional to 6,409.60, 9,602.10 and 4,941.52

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Solution

The fourth proportional to 6,409.60, 9,602.10 and 4,941.52 is: 7,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.60 : 9,602.10 = 4,941.52 : x
  2. Step 2: Convert to fraction form
    6,409.60/9,602.10 = 4,941.52/x
  3. Step 3: Cross multiply
    6,409.60x = 9,602.10 × 4,941.52
  4. Step 4: Simplify right side
    6,409.60x = 47,448,969.19
  5. Step 5: Solve for x
    x = 47,448,969.19/6,409.60
  6. Step 6: Final answer
    x = 7,402.80

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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.