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Finding the Fourth Proportional to 11,009.20, 16,477.35 and 11,009.20

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Solution

The fourth proportional to 11,009.20, 16,477.35 and 11,009.20 is: 16,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.20 : 16,477.35 = 11,009.20 : x
  2. Step 2: Convert to fraction form
    11,009.20/16,477.35 = 11,009.20/x
  3. Step 3: Cross multiply
    11,009.20x = 16,477.35 × 11,009.20
  4. Step 4: Simplify right side
    11,009.20x = 181,402,441.62
  5. Step 5: Solve for x
    x = 181,402,441.62/11,009.20
  6. Step 6: Final answer
    x = 16,477.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.