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Finding the Fourth Proportional to 9,771.54, 13,470.54 and 6,408.52

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Solution

The fourth proportional to 9,771.54, 13,470.54 and 6,408.52 is: 8,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.54 : 13,470.54 = 6,408.52 : x
  2. Step 2: Convert to fraction form
    9,771.54/13,470.54 = 6,408.52/x
  3. Step 3: Cross multiply
    9,771.54x = 13,470.54 × 6,408.52
  4. Step 4: Simplify right side
    9,771.54x = 86,326,225.00
  5. Step 5: Solve for x
    x = 86,326,225.00/9,771.54
  6. Step 6: Final answer
    x = 8,834.45

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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.