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Finding the Fourth Proportional to 16,457.85, 24,686.22 and 6,594.48

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Solution

The fourth proportional to 16,457.85, 24,686.22 and 6,594.48 is: 9,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.85 : 24,686.22 = 6,594.48 : x
  2. Step 2: Convert to fraction form
    16,457.85/24,686.22 = 6,594.48/x
  3. Step 3: Cross multiply
    16,457.85x = 24,686.22 × 6,594.48
  4. Step 4: Simplify right side
    16,457.85x = 162,792,784.07
  5. Step 5: Solve for x
    x = 162,792,784.07/16,457.85
  6. Step 6: Final answer
    x = 9,891.50

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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.