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Finding the Fourth Proportional to 6,970.02, 10,455.02 and 3,018.04

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Solution

The fourth proportional to 6,970.02, 10,455.02 and 3,018.04 is: 4,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.02 : 10,455.02 = 3,018.04 : x
  2. Step 2: Convert to fraction form
    6,970.02/10,455.02 = 3,018.04/x
  3. Step 3: Cross multiply
    6,970.02x = 10,455.02 × 3,018.04
  4. Step 4: Simplify right side
    6,970.02x = 31,553,638.65
  5. Step 5: Solve for x
    x = 31,553,638.65/6,970.02
  6. Step 6: Final answer
    x = 4,527.05

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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.