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Finding the Fourth Proportional to 9,608.70, 14,423.85 and 7,427.10

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Solution

The fourth proportional to 9,608.70, 14,423.85 and 7,427.10 is: 11,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.70 : 14,423.85 = 7,427.10 : x
  2. Step 2: Convert to fraction form
    9,608.70/14,423.85 = 7,427.10/x
  3. Step 3: Cross multiply
    9,608.70x = 14,423.85 × 7,427.10
  4. Step 4: Simplify right side
    9,608.70x = 107,127,376.34
  5. Step 5: Solve for x
    x = 107,127,376.34/9,608.70
  6. Step 6: Final answer
    x = 11,149.00

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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.