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Finding the Fourth Proportional to 24,352.84, 36,535.20 and 6,822.40

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Solution

The fourth proportional to 24,352.84, 36,535.20 and 6,822.40 is: 10,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.84 : 36,535.20 = 6,822.40 : x
  2. Step 2: Convert to fraction form
    24,352.84/36,535.20 = 6,822.40/x
  3. Step 3: Cross multiply
    24,352.84x = 36,535.20 × 6,822.40
  4. Step 4: Simplify right side
    24,352.84x = 249,257,748.48
  5. Step 5: Solve for x
    x = 249,257,748.48/24,352.84
  6. Step 6: Final answer
    x = 10,235.26

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1.5x scale

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.