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Finding the Fourth Proportional to 7,802.59, 10,766.75 and 4,444.70

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Solution

The fourth proportional to 7,802.59, 10,766.75 and 4,444.70 is: 6,133.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.59 : 10,766.75 = 4,444.70 : x
  2. Step 2: Convert to fraction form
    7,802.59/10,766.75 = 4,444.70/x
  3. Step 3: Cross multiply
    7,802.59x = 10,766.75 × 4,444.70
  4. Step 4: Simplify right side
    7,802.59x = 47,854,919.89
  5. Step 5: Solve for x
    x = 47,854,919.89/7,802.59
  6. Step 6: Final answer
    x = 6,133.21

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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.