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Finding the Fourth Proportional to 7,569.60, 11,332.80 and 6,705.60

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Solution

The fourth proportional to 7,569.60, 11,332.80 and 6,705.60 is: 10,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.60 : 11,332.80 = 6,705.60 : x
  2. Step 2: Convert to fraction form
    7,569.60/11,332.80 = 6,705.60/x
  3. Step 3: Cross multiply
    7,569.60x = 11,332.80 × 6,705.60
  4. Step 4: Simplify right side
    7,569.60x = 75,993,223.68
  5. Step 5: Solve for x
    x = 75,993,223.68/7,569.60
  6. Step 6: Final answer
    x = 10,039.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.