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Finding the Fourth Proportional to 9,772.68, 14,657.94 and 7,025.16

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Solution

The fourth proportional to 9,772.68, 14,657.94 and 7,025.16 is: 10,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.68 : 14,657.94 = 7,025.16 : x
  2. Step 2: Convert to fraction form
    9,772.68/14,657.94 = 7,025.16/x
  3. Step 3: Cross multiply
    9,772.68x = 14,657.94 × 7,025.16
  4. Step 4: Simplify right side
    9,772.68x = 102,974,373.77
  5. Step 5: Solve for x
    x = 102,974,373.77/9,772.68
  6. Step 6: Final answer
    x = 10,536.96

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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.