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Finding the Fourth Proportional to 7,314.60, 10,971.90 and 4,690.20

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Solution

The fourth proportional to 7,314.60, 10,971.90 and 4,690.20 is: 7,035.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.60 : 10,971.90 = 4,690.20 : x
  2. Step 2: Convert to fraction form
    7,314.60/10,971.90 = 4,690.20/x
  3. Step 3: Cross multiply
    7,314.60x = 10,971.90 × 4,690.20
  4. Step 4: Simplify right side
    7,314.60x = 51,460,405.38
  5. Step 5: Solve for x
    x = 51,460,405.38/7,314.60
  6. Step 6: Final answer
    x = 7,035.30

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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.