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Finding the Fourth Proportional to 10,527.42, 14,527.32 and 6,048

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Solution

The fourth proportional to 10,527.42, 14,527.32 and 6,048 is: 8,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.42 : 14,527.32 = 6,048 : x
  2. Step 2: Convert to fraction form
    10,527.42/14,527.32 = 6,048/x
  3. Step 3: Cross multiply
    10,527.42x = 14,527.32 × 6,048
  4. Step 4: Simplify right side
    10,527.42x = 87,861,231.36
  5. Step 5: Solve for x
    x = 87,861,231.36/10,527.42
  6. Step 6: Final answer
    x = 8,345.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.