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Finding the Fourth Proportional to 24,215.63, 36,303.86 and 7,567.10

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Solution

The fourth proportional to 24,215.63, 36,303.86 and 7,567.10 is: 11,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.63 : 36,303.86 = 7,567.10 : x
  2. Step 2: Convert to fraction form
    24,215.63/36,303.86 = 7,567.10/x
  3. Step 3: Cross multiply
    24,215.63x = 36,303.86 × 7,567.10
  4. Step 4: Simplify right side
    24,215.63x = 274,714,778.52
  5. Step 5: Solve for x
    x = 274,714,778.52/24,215.63
  6. Step 6: Final answer
    x = 11,344.52

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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.