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Finding the Fourth Proportional to 3,570.75, 5,356.15 and 973.71

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Solution

The fourth proportional to 3,570.75, 5,356.15 and 973.71 is: 1,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.75 : 5,356.15 = 973.71 : x
  2. Step 2: Convert to fraction form
    3,570.75/5,356.15 = 973.71/x
  3. Step 3: Cross multiply
    3,570.75x = 5,356.15 × 973.71
  4. Step 4: Simplify right side
    3,570.75x = 5,215,334.38
  5. Step 5: Solve for x
    x = 5,215,334.38/3,570.75
  6. Step 6: Final answer
    x = 1,460.57

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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.