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Finding the Fourth Proportional to 9,565.60, 13,218.78 and 7,203.64

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Solution

The fourth proportional to 9,565.60, 13,218.78 and 7,203.64 is: 9,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.60 : 13,218.78 = 7,203.64 : x
  2. Step 2: Convert to fraction form
    9,565.60/13,218.78 = 7,203.64/x
  3. Step 3: Cross multiply
    9,565.60x = 13,218.78 × 7,203.64
  4. Step 4: Simplify right side
    9,565.60x = 95,223,332.36
  5. Step 5: Solve for x
    x = 95,223,332.36/9,565.60
  6. Step 6: Final answer
    x = 9,954.77

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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.