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Finding the Fourth Proportional to 7,617.81, 10,509.48 and 4,964.25

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Solution

The fourth proportional to 7,617.81, 10,509.48 and 4,964.25 is: 6,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.81 : 10,509.48 = 4,964.25 : x
  2. Step 2: Convert to fraction form
    7,617.81/10,509.48 = 4,964.25/x
  3. Step 3: Cross multiply
    7,617.81x = 10,509.48 × 4,964.25
  4. Step 4: Simplify right side
    7,617.81x = 52,171,686.09
  5. Step 5: Solve for x
    x = 52,171,686.09/7,617.81
  6. Step 6: Final answer
    x = 6,848.65

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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.