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Finding the Fourth Proportional to 16,584.23, 22,886.64 and 9,030.98

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Solution

The fourth proportional to 16,584.23, 22,886.64 and 9,030.98 is: 12,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.23 : 22,886.64 = 9,030.98 : x
  2. Step 2: Convert to fraction form
    16,584.23/22,886.64 = 9,030.98/x
  3. Step 3: Cross multiply
    16,584.23x = 22,886.64 × 9,030.98
  4. Step 4: Simplify right side
    16,584.23x = 206,688,673.67
  5. Step 5: Solve for x
    x = 206,688,673.67/16,584.23
  6. Step 6: Final answer
    x = 12,462.97

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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.