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Finding the Fourth Proportional to 9,752.36, 14,624.90 and 3,510.68

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Solution

The fourth proportional to 9,752.36, 14,624.90 and 3,510.68 is: 5,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.36 : 14,624.90 = 3,510.68 : x
  2. Step 2: Convert to fraction form
    9,752.36/14,624.90 = 3,510.68/x
  3. Step 3: Cross multiply
    9,752.36x = 14,624.90 × 3,510.68
  4. Step 4: Simplify right side
    9,752.36x = 51,343,343.93
  5. Step 5: Solve for x
    x = 51,343,343.93/9,752.36
  6. Step 6: Final answer
    x = 5,264.71

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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.