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Finding the Fourth Proportional to 14,471.63, 21,710.04 and 5,117.08

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Solution

The fourth proportional to 14,471.63, 21,710.04 and 5,117.08 is: 7,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.63 : 21,710.04 = 5,117.08 : x
  2. Step 2: Convert to fraction form
    14,471.63/21,710.04 = 5,117.08/x
  3. Step 3: Cross multiply
    14,471.63x = 21,710.04 × 5,117.08
  4. Step 4: Simplify right side
    14,471.63x = 111,091,957.21
  5. Step 5: Solve for x
    x = 111,091,957.21/14,471.63
  6. Step 6: Final answer
    x = 7,676.54

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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.