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Finding the Fourth Proportional to 9,628.52, 14,420.46 and 7,025

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Solution

The fourth proportional to 9,628.52, 14,420.46 and 7,025 is: 10,521.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.52 : 14,420.46 = 7,025 : x
  2. Step 2: Convert to fraction form
    9,628.52/14,420.46 = 7,025/x
  3. Step 3: Cross multiply
    9,628.52x = 14,420.46 × 7,025
  4. Step 4: Simplify right side
    9,628.52x = 101,303,731.50
  5. Step 5: Solve for x
    x = 101,303,731.50/9,628.52
  6. Step 6: Final answer
    x = 10,521.22

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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.