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Finding the Fourth Proportional to 9,853.14, 14,782.14 and 2,927.64

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Solution

The fourth proportional to 9,853.14, 14,782.14 and 2,927.64 is: 4,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.14 : 14,782.14 = 2,927.64 : x
  2. Step 2: Convert to fraction form
    9,853.14/14,782.14 = 2,927.64/x
  3. Step 3: Cross multiply
    9,853.14x = 14,782.14 × 2,927.64
  4. Step 4: Simplify right side
    9,853.14x = 43,276,784.35
  5. Step 5: Solve for x
    x = 43,276,784.35/9,853.14
  6. Step 6: Final answer
    x = 4,392.18

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1.5x scale

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.