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Finding the Fourth Proportional to 10,814.52, 14,927.94 and 6,838.32

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Solution

The fourth proportional to 10,814.52, 14,927.94 and 6,838.32 is: 9,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.52 : 14,927.94 = 6,838.32 : x
  2. Step 2: Convert to fraction form
    10,814.52/14,927.94 = 6,838.32/x
  3. Step 3: Cross multiply
    10,814.52x = 14,927.94 × 6,838.32
  4. Step 4: Simplify right side
    10,814.52x = 102,082,030.66
  5. Step 5: Solve for x
    x = 102,082,030.66/10,814.52
  6. Step 6: Final answer
    x = 9,439.35

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1.5x scale

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.