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Finding the Fourth Proportional to 5,026.16, 7,538.16 and 1,738.64

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Solution

The fourth proportional to 5,026.16, 7,538.16 and 1,738.64 is: 2,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.16 : 7,538.16 = 1,738.64 : x
  2. Step 2: Convert to fraction form
    5,026.16/7,538.16 = 1,738.64/x
  3. Step 3: Cross multiply
    5,026.16x = 7,538.16 × 1,738.64
  4. Step 4: Simplify right side
    5,026.16x = 13,106,146.50
  5. Step 5: Solve for x
    x = 13,106,146.50/5,026.16
  6. Step 6: Final answer
    x = 2,607.59

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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.