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Finding the Fourth Proportional to 9,769, 13,485.54 and 6,416.68

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Solution

The fourth proportional to 9,769, 13,485.54 and 6,416.68 is: 8,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769 : 13,485.54 = 6,416.68 : x
  2. Step 2: Convert to fraction form
    9,769/13,485.54 = 6,416.68/x
  3. Step 3: Cross multiply
    9,769x = 13,485.54 × 6,416.68
  4. Step 4: Simplify right side
    9,769x = 86,532,394.81
  5. Step 5: Solve for x
    x = 86,532,394.81/9,769
  6. Step 6: Final answer
    x = 8,857.86

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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.