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Finding the Fourth Proportional to 9,158.76, 13,738.14 and 3,314.01

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Solution

The fourth proportional to 9,158.76, 13,738.14 and 3,314.01 is: 4,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.76 : 13,738.14 = 3,314.01 : x
  2. Step 2: Convert to fraction form
    9,158.76/13,738.14 = 3,314.01/x
  3. Step 3: Cross multiply
    9,158.76x = 13,738.14 × 3,314.01
  4. Step 4: Simplify right side
    9,158.76x = 45,528,333.34
  5. Step 5: Solve for x
    x = 45,528,333.34/9,158.76
  6. Step 6: Final answer
    x = 4,971.02

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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.