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Finding the Fourth Proportional to 7,525.64, 10,384.80 and 5,845.16

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Solution

The fourth proportional to 7,525.64, 10,384.80 and 5,845.16 is: 8,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.64 : 10,384.80 = 5,845.16 : x
  2. Step 2: Convert to fraction form
    7,525.64/10,384.80 = 5,845.16/x
  3. Step 3: Cross multiply
    7,525.64x = 10,384.80 × 5,845.16
  4. Step 4: Simplify right side
    7,525.64x = 60,700,817.57
  5. Step 5: Solve for x
    x = 60,700,817.57/7,525.64
  6. Step 6: Final answer
    x = 8,065.87

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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.