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Finding the Fourth Proportional to 9,700.48, 14,551.48 and 3,126.86

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Solution

The fourth proportional to 9,700.48, 14,551.48 and 3,126.86 is: 4,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.48 : 14,551.48 = 3,126.86 : x
  2. Step 2: Convert to fraction form
    9,700.48/14,551.48 = 3,126.86/x
  3. Step 3: Cross multiply
    9,700.48x = 14,551.48 × 3,126.86
  4. Step 4: Simplify right side
    9,700.48x = 45,500,440.75
  5. Step 5: Solve for x
    x = 45,500,440.75/9,700.48
  6. Step 6: Final answer
    x = 4,690.53

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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.