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Finding the Fourth Proportional to 6,210.54, 9,312.84 and 2,509.65

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Solution

The fourth proportional to 6,210.54, 9,312.84 and 2,509.65 is: 3,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.54 : 9,312.84 = 2,509.65 : x
  2. Step 2: Convert to fraction form
    6,210.54/9,312.84 = 2,509.65/x
  3. Step 3: Cross multiply
    6,210.54x = 9,312.84 × 2,509.65
  4. Step 4: Simplify right side
    6,210.54x = 23,371,968.91
  5. Step 5: Solve for x
    x = 23,371,968.91/6,210.54
  6. Step 6: Final answer
    x = 3,763.27

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1.5x scale

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.