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Finding the Fourth Proportional to 6,700, 10,052.12 and 3,005.40

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Solution

The fourth proportional to 6,700, 10,052.12 and 3,005.40 is: 4,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 10,052.12 = 3,005.40 : x
  2. Step 2: Convert to fraction form
    6,700/10,052.12 = 3,005.40/x
  3. Step 3: Cross multiply
    6,700x = 10,052.12 × 3,005.40
  4. Step 4: Simplify right side
    6,700x = 30,210,641.45
  5. Step 5: Solve for x
    x = 30,210,641.45/6,700
  6. Step 6: Final answer
    x = 4,509.05

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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.