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Finding the Fourth Proportional to 11,807.80, 16,295.22 and 6,502.50

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Solution

The fourth proportional to 11,807.80, 16,295.22 and 6,502.50 is: 8,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.80 : 16,295.22 = 6,502.50 : x
  2. Step 2: Convert to fraction form
    11,807.80/16,295.22 = 6,502.50/x
  3. Step 3: Cross multiply
    11,807.80x = 16,295.22 × 6,502.50
  4. Step 4: Simplify right side
    11,807.80x = 105,959,668.05
  5. Step 5: Solve for x
    x = 105,959,668.05/11,807.80
  6. Step 6: Final answer
    x = 8,973.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.