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Finding the Fourth Proportional to 16,162.65, 22,303.98 and 9,089.55

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Solution

The fourth proportional to 16,162.65, 22,303.98 and 9,089.55 is: 12,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.65 : 22,303.98 = 9,089.55 : x
  2. Step 2: Convert to fraction form
    16,162.65/22,303.98 = 9,089.55/x
  3. Step 3: Cross multiply
    16,162.65x = 22,303.98 × 9,089.55
  4. Step 4: Simplify right side
    16,162.65x = 202,733,141.41
  5. Step 5: Solve for x
    x = 202,733,141.41/16,162.65
  6. Step 6: Final answer
    x = 12,543.31

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Half scale
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Double scale
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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.