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Finding the Fourth Proportional to 9,778.55, 14,667.85 and 2,383

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Solution

The fourth proportional to 9,778.55, 14,667.85 and 2,383 is: 3,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.55 : 14,667.85 = 2,383 : x
  2. Step 2: Convert to fraction form
    9,778.55/14,667.85 = 2,383/x
  3. Step 3: Cross multiply
    9,778.55x = 14,667.85 × 2,383
  4. Step 4: Simplify right side
    9,778.55x = 34,953,486.55
  5. Step 5: Solve for x
    x = 34,953,486.55/9,778.55
  6. Step 6: Final answer
    x = 3,574.51

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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.