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Finding the Fourth Proportional to 6,381.66, 9,570.76 and 4,038.14

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Solution

The fourth proportional to 6,381.66, 9,570.76 and 4,038.14 is: 6,056.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.66 : 9,570.76 = 4,038.14 : x
  2. Step 2: Convert to fraction form
    6,381.66/9,570.76 = 4,038.14/x
  3. Step 3: Cross multiply
    6,381.66x = 9,570.76 × 4,038.14
  4. Step 4: Simplify right side
    6,381.66x = 38,648,068.79
  5. Step 5: Solve for x
    x = 38,648,068.79/6,381.66
  6. Step 6: Final answer
    x = 6,056.12

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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.