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Finding the Fourth Proportional to 4,971.58, 7,455.54 and 1,460.68

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Solution

The fourth proportional to 4,971.58, 7,455.54 and 1,460.68 is: 2,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.58 : 7,455.54 = 1,460.68 : x
  2. Step 2: Convert to fraction form
    4,971.58/7,455.54 = 1,460.68/x
  3. Step 3: Cross multiply
    4,971.58x = 7,455.54 × 1,460.68
  4. Step 4: Simplify right side
    4,971.58x = 10,890,186.94
  5. Step 5: Solve for x
    x = 10,890,186.94/4,971.58
  6. Step 6: Final answer
    x = 2,190.49

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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.