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Finding the Fourth Proportional to 9,768.71, 13,480.86 and 5,292.45

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Solution

The fourth proportional to 9,768.71, 13,480.86 and 5,292.45 is: 7,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.71 : 13,480.86 = 5,292.45 : x
  2. Step 2: Convert to fraction form
    9,768.71/13,480.86 = 5,292.45/x
  3. Step 3: Cross multiply
    9,768.71x = 13,480.86 × 5,292.45
  4. Step 4: Simplify right side
    9,768.71x = 71,346,777.51
  5. Step 5: Solve for x
    x = 71,346,777.51/9,768.71
  6. Step 6: Final answer
    x = 7,303.60

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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.