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Finding the Fourth Proportional to 3,570.74, 5,355.96 and 973.68

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Solution

The fourth proportional to 3,570.74, 5,355.96 and 973.68 is: 1,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.74 : 5,355.96 = 973.68 : x
  2. Step 2: Convert to fraction form
    3,570.74/5,355.96 = 973.68/x
  3. Step 3: Cross multiply
    3,570.74x = 5,355.96 × 973.68
  4. Step 4: Simplify right side
    3,570.74x = 5,214,991.13
  5. Step 5: Solve for x
    x = 5,214,991.13/3,570.74
  6. Step 6: Final answer
    x = 1,460.48

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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.