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Finding the Fourth Proportional to 7,802.10, 10,771.74 and 4,822.02

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Solution

The fourth proportional to 7,802.10, 10,771.74 and 4,822.02 is: 6,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.10 : 10,771.74 = 4,822.02 : x
  2. Step 2: Convert to fraction form
    7,802.10/10,771.74 = 4,822.02/x
  3. Step 3: Cross multiply
    7,802.10x = 10,771.74 × 4,822.02
  4. Step 4: Simplify right side
    7,802.10x = 51,941,545.71
  5. Step 5: Solve for x
    x = 51,941,545.71/7,802.10
  6. Step 6: Final answer
    x = 6,657.38

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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.