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Finding the Fourth Proportional to 14,226.01, 19,631.86 and 7,853.00

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Solution

The fourth proportional to 14,226.01, 19,631.86 and 7,853.00 is: 10,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.01 : 19,631.86 = 7,853.00 : x
  2. Step 2: Convert to fraction form
    14,226.01/19,631.86 = 7,853.00/x
  3. Step 3: Cross multiply
    14,226.01x = 19,631.86 × 7,853.00
  4. Step 4: Simplify right side
    14,226.01x = 154,168,878.79
  5. Step 5: Solve for x
    x = 154,168,878.79/14,226.01
  6. Step 6: Final answer
    x = 10,837.11

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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.