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Finding the Fourth Proportional to 16,582.65, 22,884.06 and 9,130.65

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Solution

The fourth proportional to 16,582.65, 22,884.06 and 9,130.65 is: 12,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.65 : 22,884.06 = 9,130.65 : x
  2. Step 2: Convert to fraction form
    16,582.65/22,884.06 = 9,130.65/x
  3. Step 3: Cross multiply
    16,582.65x = 22,884.06 × 9,130.65
  4. Step 4: Simplify right side
    16,582.65x = 208,946,342.44
  5. Step 5: Solve for x
    x = 208,946,342.44/16,582.65
  6. Step 6: Final answer
    x = 12,600.30

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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.