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Finding the Fourth Proportional to 11,004, 16,502.76 and 3,210.96

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Solution

The fourth proportional to 11,004, 16,502.76 and 3,210.96 is: 4,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004 : 16,502.76 = 3,210.96 : x
  2. Step 2: Convert to fraction form
    11,004/16,502.76 = 3,210.96/x
  3. Step 3: Cross multiply
    11,004x = 16,502.76 × 3,210.96
  4. Step 4: Simplify right side
    11,004x = 52,989,702.25
  5. Step 5: Solve for x
    x = 52,989,702.25/11,004
  6. Step 6: Final answer
    x = 4,815.49

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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.