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Finding the Fourth Proportional to 16,164, 22,303.80 and 9,089.10

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Solution

The fourth proportional to 16,164, 22,303.80 and 9,089.10 is: 12,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164 : 22,303.80 = 9,089.10 : x
  2. Step 2: Convert to fraction form
    16,164/22,303.80 = 9,089.10/x
  3. Step 3: Cross multiply
    16,164x = 22,303.80 × 9,089.10
  4. Step 4: Simplify right side
    16,164x = 202,721,468.58
  5. Step 5: Solve for x
    x = 202,721,468.58/16,164
  6. Step 6: Final answer
    x = 12,541.54

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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.