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Finding the Fourth Proportional to 9,806.88, 13,533.54 and 5,330.64

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Solution

The fourth proportional to 9,806.88, 13,533.54 and 5,330.64 is: 7,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.88 : 13,533.54 = 5,330.64 : x
  2. Step 2: Convert to fraction form
    9,806.88/13,533.54 = 5,330.64/x
  3. Step 3: Cross multiply
    9,806.88x = 13,533.54 × 5,330.64
  4. Step 4: Simplify right side
    9,806.88x = 72,142,429.67
  5. Step 5: Solve for x
    x = 72,142,429.67/9,806.88
  6. Step 6: Final answer
    x = 7,356.31

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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.