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Finding the Fourth Proportional to 10,525.46, 14,525 and 5,809.64

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Solution

The fourth proportional to 10,525.46, 14,525 and 5,809.64 is: 8,017.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.46 : 14,525 = 5,809.64 : x
  2. Step 2: Convert to fraction form
    10,525.46/14,525 = 5,809.64/x
  3. Step 3: Cross multiply
    10,525.46x = 14,525 × 5,809.64
  4. Step 4: Simplify right side
    10,525.46x = 84,385,021
  5. Step 5: Solve for x
    x = 84,385,021/10,525.46
  6. Step 6: Final answer
    x = 8,017.23

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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.