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Finding the Fourth Proportional to 9,510.64, 14,265.90 and 5,639.56

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Solution

The fourth proportional to 9,510.64, 14,265.90 and 5,639.56 is: 8,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.64 : 14,265.90 = 5,639.56 : x
  2. Step 2: Convert to fraction form
    9,510.64/14,265.90 = 5,639.56/x
  3. Step 3: Cross multiply
    9,510.64x = 14,265.90 × 5,639.56
  4. Step 4: Simplify right side
    9,510.64x = 80,453,399.00
  5. Step 5: Solve for x
    x = 80,453,399.00/9,510.64
  6. Step 6: Final answer
    x = 8,459.30

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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.