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Finding the Fourth Proportional to 24,423, 36,634.86 and 7,783.02

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Solution

The fourth proportional to 24,423, 36,634.86 and 7,783.02 is: 11,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423 : 36,634.86 = 7,783.02 : x
  2. Step 2: Convert to fraction form
    24,423/36,634.86 = 7,783.02/x
  3. Step 3: Cross multiply
    24,423x = 36,634.86 × 7,783.02
  4. Step 4: Simplify right side
    24,423x = 285,129,848.08
  5. Step 5: Solve for x
    x = 285,129,848.08/24,423
  6. Step 6: Final answer
    x = 11,674.64

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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.