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Finding the Fourth Proportional to 15,300, 22,953.84 and 4,356

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Solution

The fourth proportional to 15,300, 22,953.84 and 4,356 is: 6,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 22,953.84 = 4,356 : x
  2. Step 2: Convert to fraction form
    15,300/22,953.84 = 4,356/x
  3. Step 3: Cross multiply
    15,300x = 22,953.84 × 4,356
  4. Step 4: Simplify right side
    15,300x = 99,986,927.04
  5. Step 5: Solve for x
    x = 99,986,927.04/15,300
  6. Step 6: Final answer
    x = 6,535.09

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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.