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Finding the Fourth Proportional to 7,798.95, 10,762.31 and 4,262.15

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Solution

The fourth proportional to 7,798.95, 10,762.31 and 4,262.15 is: 5,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.95 : 10,762.31 = 4,262.15 : x
  2. Step 2: Convert to fraction form
    7,798.95/10,762.31 = 4,262.15/x
  3. Step 3: Cross multiply
    7,798.95x = 10,762.31 × 4,262.15
  4. Step 4: Simplify right side
    7,798.95x = 45,870,579.57
  5. Step 5: Solve for x
    x = 45,870,579.57/7,798.95
  6. Step 6: Final answer
    x = 5,881.64

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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.