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Finding the Fourth Proportional to 5,669.76, 8,505.12 and 1,510.40

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Solution

The fourth proportional to 5,669.76, 8,505.12 and 1,510.40 is: 2,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.76 : 8,505.12 = 1,510.40 : x
  2. Step 2: Convert to fraction form
    5,669.76/8,505.12 = 1,510.40/x
  3. Step 3: Cross multiply
    5,669.76x = 8,505.12 × 1,510.40
  4. Step 4: Simplify right side
    5,669.76x = 12,846,133.25
  5. Step 5: Solve for x
    x = 12,846,133.25/5,669.76
  6. Step 6: Final answer
    x = 2,265.73

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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.