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Finding the Fourth Proportional to 9,784.75, 14,667.47 and 6,264.74

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Solution

The fourth proportional to 9,784.75, 14,667.47 and 6,264.74 is: 9,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.75 : 14,667.47 = 6,264.74 : x
  2. Step 2: Convert to fraction form
    9,784.75/14,667.47 = 6,264.74/x
  3. Step 3: Cross multiply
    9,784.75x = 14,667.47 × 6,264.74
  4. Step 4: Simplify right side
    9,784.75x = 91,887,781.35
  5. Step 5: Solve for x
    x = 91,887,781.35/9,784.75
  6. Step 6: Final answer
    x = 9,390.92

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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.