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Finding the Fourth Proportional to 11,017.50, 16,526.25 and 2,809.50

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Solution

The fourth proportional to 11,017.50, 16,526.25 and 2,809.50 is: 4,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.50 : 16,526.25 = 2,809.50 : x
  2. Step 2: Convert to fraction form
    11,017.50/16,526.25 = 2,809.50/x
  3. Step 3: Cross multiply
    11,017.50x = 16,526.25 × 2,809.50
  4. Step 4: Simplify right side
    11,017.50x = 46,430,499.38
  5. Step 5: Solve for x
    x = 46,430,499.38/11,017.50
  6. Step 6: Final answer
    x = 4,214.25

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Double scale
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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.