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Finding the Fourth Proportional to 4,852.61, 7,280.13 and 1,565.63

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Solution

The fourth proportional to 4,852.61, 7,280.13 and 1,565.63 is: 2,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.61 : 7,280.13 = 1,565.63 : x
  2. Step 2: Convert to fraction form
    4,852.61/7,280.13 = 1,565.63/x
  3. Step 3: Cross multiply
    4,852.61x = 7,280.13 × 1,565.63
  4. Step 4: Simplify right side
    4,852.61x = 11,397,989.93
  5. Step 5: Solve for x
    x = 11,397,989.93/4,852.61
  6. Step 6: Final answer
    x = 2,348.84

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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.