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Finding the Fourth Proportional to 9,813.36, 13,541.76 and 5,564.64

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Solution

The fourth proportional to 9,813.36, 13,541.76 and 5,564.64 is: 7,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.36 : 13,541.76 = 5,564.64 : x
  2. Step 2: Convert to fraction form
    9,813.36/13,541.76 = 5,564.64/x
  3. Step 3: Cross multiply
    9,813.36x = 13,541.76 × 5,564.64
  4. Step 4: Simplify right side
    9,813.36x = 75,355,019.37
  5. Step 5: Solve for x
    x = 75,355,019.37/9,813.36
  6. Step 6: Final answer
    x = 7,678.82

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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.