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Finding the Fourth Proportional to 9,741.70, 14,623.35 and 9,107.20

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Solution

The fourth proportional to 9,741.70, 14,623.35 and 9,107.20 is: 13,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.70 : 14,623.35 = 9,107.20 : x
  2. Step 2: Convert to fraction form
    9,741.70/14,623.35 = 9,107.20/x
  3. Step 3: Cross multiply
    9,741.70x = 14,623.35 × 9,107.20
  4. Step 4: Simplify right side
    9,741.70x = 133,177,773.12
  5. Step 5: Solve for x
    x = 133,177,773.12/9,741.70
  6. Step 6: Final answer
    x = 13,670.90

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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.