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Finding the Fourth Proportional to 9,789.59, 13,509.51 and 5,313.50

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Solution

The fourth proportional to 9,789.59, 13,509.51 and 5,313.50 is: 7,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.59 : 13,509.51 = 5,313.50 : x
  2. Step 2: Convert to fraction form
    9,789.59/13,509.51 = 5,313.50/x
  3. Step 3: Cross multiply
    9,789.59x = 13,509.51 × 5,313.50
  4. Step 4: Simplify right side
    9,789.59x = 71,782,781.39
  5. Step 5: Solve for x
    x = 71,782,781.39/9,789.59
  6. Step 6: Final answer
    x = 7,332.56

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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.