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Finding the Fourth Proportional to 4,997.46, 7,495.71 and 1,534.50

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Solution

The fourth proportional to 4,997.46, 7,495.71 and 1,534.50 is: 2,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.46 : 7,495.71 = 1,534.50 : x
  2. Step 2: Convert to fraction form
    4,997.46/7,495.71 = 1,534.50/x
  3. Step 3: Cross multiply
    4,997.46x = 7,495.71 × 1,534.50
  4. Step 4: Simplify right side
    4,997.46x = 11,502,167.00
  5. Step 5: Solve for x
    x = 11,502,167.00/4,997.46
  6. Step 6: Final answer
    x = 2,301.60

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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.