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Finding the Fourth Proportional to 14,045.70, 19,383.08 and 7,758.08

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Solution

The fourth proportional to 14,045.70, 19,383.08 and 7,758.08 is: 10,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.70 : 19,383.08 = 7,758.08 : x
  2. Step 2: Convert to fraction form
    14,045.70/19,383.08 = 7,758.08/x
  3. Step 3: Cross multiply
    14,045.70x = 19,383.08 × 7,758.08
  4. Step 4: Simplify right side
    14,045.70x = 150,375,485.29
  5. Step 5: Solve for x
    x = 150,375,485.29/14,045.70
  6. Step 6: Final answer
    x = 10,706.16

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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.