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Finding the Fourth Proportional to 9,580.70, 14,342.70 and 7,126.40

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Solution

The fourth proportional to 9,580.70, 14,342.70 and 7,126.40 is: 10,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.70 : 14,342.70 = 7,126.40 : x
  2. Step 2: Convert to fraction form
    9,580.70/14,342.70 = 7,126.40/x
  3. Step 3: Cross multiply
    9,580.70x = 14,342.70 × 7,126.40
  4. Step 4: Simplify right side
    9,580.70x = 102,211,817.28
  5. Step 5: Solve for x
    x = 102,211,817.28/9,580.70
  6. Step 6: Final answer
    x = 10,668.51

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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.