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Finding the Fourth Proportional to 4,999.54, 7,499.54 and 1,302.14

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Solution

The fourth proportional to 4,999.54, 7,499.54 and 1,302.14 is: 1,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.54 : 7,499.54 = 1,302.14 : x
  2. Step 2: Convert to fraction form
    4,999.54/7,499.54 = 1,302.14/x
  3. Step 3: Cross multiply
    4,999.54x = 7,499.54 × 1,302.14
  4. Step 4: Simplify right side
    4,999.54x = 9,765,465.70
  5. Step 5: Solve for x
    x = 9,765,465.70/4,999.54
  6. Step 6: Final answer
    x = 1,953.27

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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.