Home / 7,577.49-10,462.07-4,746

Finding the Fourth Proportional to 7,577.49, 10,462.07 and 4,746

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Solution

The fourth proportional to 7,577.49, 10,462.07 and 4,746 is: 6,552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.49 : 10,462.07 = 4,746 : x
  2. Step 2: Convert to fraction form
    7,577.49/10,462.07 = 4,746/x
  3. Step 3: Cross multiply
    7,577.49x = 10,462.07 × 4,746
  4. Step 4: Simplify right side
    7,577.49x = 49,652,960.49
  5. Step 5: Solve for x
    x = 49,652,960.49/7,577.49
  6. Step 6: Final answer
    x = 6,552.69

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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.