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Finding the Fourth Proportional to 7,798.54, 10,762.00 and 4,261.75

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Solution

The fourth proportional to 7,798.54, 10,762.00 and 4,261.75 is: 5,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.54 : 10,762.00 = 4,261.75 : x
  2. Step 2: Convert to fraction form
    7,798.54/10,762.00 = 4,261.75/x
  3. Step 3: Cross multiply
    7,798.54x = 10,762.00 × 4,261.75
  4. Step 4: Simplify right side
    7,798.54x = 45,864,986.40
  5. Step 5: Solve for x
    x = 45,864,986.40/7,798.54
  6. Step 6: Final answer
    x = 5,881.22

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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.