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Finding the Fourth Proportional to 24,638.83, 36,985.88 and 9,858.06

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Solution

The fourth proportional to 24,638.83, 36,985.88 and 9,858.06 is: 14,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.83 : 36,985.88 = 9,858.06 : x
  2. Step 2: Convert to fraction form
    24,638.83/36,985.88 = 9,858.06/x
  3. Step 3: Cross multiply
    24,638.83x = 36,985.88 × 9,858.06
  4. Step 4: Simplify right side
    24,638.83x = 364,609,048.84
  5. Step 5: Solve for x
    x = 364,609,048.84/24,638.83
  6. Step 6: Final answer
    x = 14,798.15

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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.