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Finding the Fourth Proportional to 15,377, 23,065.50 and 4,433

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Solution

The fourth proportional to 15,377, 23,065.50 and 4,433 is: 6,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,377 : 23,065.50 = 4,433 : x
  2. Step 2: Convert to fraction form
    15,377/23,065.50 = 4,433/x
  3. Step 3: Cross multiply
    15,377x = 23,065.50 × 4,433
  4. Step 4: Simplify right side
    15,377x = 102,249,361.50
  5. Step 5: Solve for x
    x = 102,249,361.50/15,377
  6. Step 6: Final answer
    x = 6,649.50

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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.