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Finding the Fourth Proportional to 7,677, 10,594.98 and 4,365

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Solution

The fourth proportional to 7,677, 10,594.98 and 4,365 is: 6,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 10,594.98 = 4,365 : x
  2. Step 2: Convert to fraction form
    7,677/10,594.98 = 4,365/x
  3. Step 3: Cross multiply
    7,677x = 10,594.98 × 4,365
  4. Step 4: Simplify right side
    7,677x = 46,247,087.70
  5. Step 5: Solve for x
    x = 46,247,087.70/7,677
  6. Step 6: Final answer
    x = 6,024.11

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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.