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Finding the Fourth Proportional to 16,464.41, 24,695.74 and 4,619.00

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Solution

The fourth proportional to 16,464.41, 24,695.74 and 4,619.00 is: 6,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.41 : 24,695.74 = 4,619.00 : x
  2. Step 2: Convert to fraction form
    16,464.41/24,695.74 = 4,619.00/x
  3. Step 3: Cross multiply
    16,464.41x = 24,695.74 × 4,619.00
  4. Step 4: Simplify right side
    16,464.41x = 114,069,476.49
  5. Step 5: Solve for x
    x = 114,069,476.49/16,464.41
  6. Step 6: Final answer
    x = 6,928.25

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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.