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Finding the Fourth Proportional to 24,638.40, 36,948.96 and 9,852.48

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Solution

The fourth proportional to 24,638.40, 36,948.96 and 9,852.48 is: 14,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.40 : 36,948.96 = 9,852.48 : x
  2. Step 2: Convert to fraction form
    24,638.40/36,948.96 = 9,852.48/x
  3. Step 3: Cross multiply
    24,638.40x = 36,948.96 × 9,852.48
  4. Step 4: Simplify right side
    24,638.40x = 364,038,889.42
  5. Step 5: Solve for x
    x = 364,038,889.42/24,638.40
  6. Step 6: Final answer
    x = 14,775.27

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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.