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Finding the Fourth Proportional to 6,525.65, 9,780.19 and 3,055.25

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Solution

The fourth proportional to 6,525.65, 9,780.19 and 3,055.25 is: 4,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.65 : 9,780.19 = 3,055.25 : x
  2. Step 2: Convert to fraction form
    6,525.65/9,780.19 = 3,055.25/x
  3. Step 3: Cross multiply
    6,525.65x = 9,780.19 × 3,055.25
  4. Step 4: Simplify right side
    6,525.65x = 29,880,925.50
  5. Step 5: Solve for x
    x = 29,880,925.50/6,525.65
  6. Step 6: Final answer
    x = 4,579.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.