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Finding the Fourth Proportional to 9,713.95, 14,570.96 and 3,144.74

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Solution

The fourth proportional to 9,713.95, 14,570.96 and 3,144.74 is: 4,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.95 : 14,570.96 = 3,144.74 : x
  2. Step 2: Convert to fraction form
    9,713.95/14,570.96 = 3,144.74/x
  3. Step 3: Cross multiply
    9,713.95x = 14,570.96 × 3,144.74
  4. Step 4: Simplify right side
    9,713.95x = 45,821,792.17
  5. Step 5: Solve for x
    x = 45,821,792.17/9,713.95
  6. Step 6: Final answer
    x = 4,717.11

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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.