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Finding the Fourth Proportional to 6,482.56, 8,947.92 and 4,386.64

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Solution

The fourth proportional to 6,482.56, 8,947.92 and 4,386.64 is: 6,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.56 : 8,947.92 = 4,386.64 : x
  2. Step 2: Convert to fraction form
    6,482.56/8,947.92 = 4,386.64/x
  3. Step 3: Cross multiply
    6,482.56x = 8,947.92 × 4,386.64
  4. Step 4: Simplify right side
    6,482.56x = 39,251,303.79
  5. Step 5: Solve for x
    x = 39,251,303.79/6,482.56
  6. Step 6: Final answer
    x = 6,054.91

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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.