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Finding the Fourth Proportional to 3,313.66, 4,971.26 and 973.62

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Solution

The fourth proportional to 3,313.66, 4,971.26 and 973.62 is: 1,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.66 : 4,971.26 = 973.62 : x
  2. Step 2: Convert to fraction form
    3,313.66/4,971.26 = 973.62/x
  3. Step 3: Cross multiply
    3,313.66x = 4,971.26 × 973.62
  4. Step 4: Simplify right side
    3,313.66x = 4,840,118.16
  5. Step 5: Solve for x
    x = 4,840,118.16/3,313.66
  6. Step 6: Final answer
    x = 1,460.66

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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.