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Finding the Fourth Proportional to 11,007.70, 16,468.35 and 9,970.90

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Solution

The fourth proportional to 11,007.70, 16,468.35 and 9,970.90 is: 14,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.70 : 16,468.35 = 9,970.90 : x
  2. Step 2: Convert to fraction form
    11,007.70/16,468.35 = 9,970.90/x
  3. Step 3: Cross multiply
    11,007.70x = 16,468.35 × 9,970.90
  4. Step 4: Simplify right side
    11,007.70x = 164,204,271.02
  5. Step 5: Solve for x
    x = 164,204,271.02/11,007.70
  6. Step 6: Final answer
    x = 14,917.22

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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.