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Finding the Fourth Proportional to 4,999.89, 7,499.94 and 1,537.14

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Solution

The fourth proportional to 4,999.89, 7,499.94 and 1,537.14 is: 2,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.89 : 7,499.94 = 1,537.14 : x
  2. Step 2: Convert to fraction form
    4,999.89/7,499.94 = 1,537.14/x
  3. Step 3: Cross multiply
    4,999.89x = 7,499.94 × 1,537.14
  4. Step 4: Simplify right side
    4,999.89x = 11,528,457.77
  5. Step 5: Solve for x
    x = 11,528,457.77/4,999.89
  6. Step 6: Final answer
    x = 2,305.74

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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.