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Finding the Fourth Proportional to 9,756.62, 13,453.68 and 7,866.20

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Solution

The fourth proportional to 9,756.62, 13,453.68 and 7,866.20 is: 10,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.62 : 13,453.68 = 7,866.20 : x
  2. Step 2: Convert to fraction form
    9,756.62/13,453.68 = 7,866.20/x
  3. Step 3: Cross multiply
    9,756.62x = 13,453.68 × 7,866.20
  4. Step 4: Simplify right side
    9,756.62x = 105,829,337.62
  5. Step 5: Solve for x
    x = 105,829,337.62/9,756.62
  6. Step 6: Final answer
    x = 10,846.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.