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Finding the Fourth Proportional to 9,749.40, 14,591.70 and 9,749.40

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Solution

The fourth proportional to 9,749.40, 14,591.70 and 9,749.40 is: 14,591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.40 : 14,591.70 = 9,749.40 : x
  2. Step 2: Convert to fraction form
    9,749.40/14,591.70 = 9,749.40/x
  3. Step 3: Cross multiply
    9,749.40x = 14,591.70 × 9,749.40
  4. Step 4: Simplify right side
    9,749.40x = 142,260,319.98
  5. Step 5: Solve for x
    x = 142,260,319.98/9,749.40
  6. Step 6: Final answer
    x = 14,591.70

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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.