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Finding the Fourth Proportional to 7,329.64, 10,994.38 and 1,782.99

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Solution

The fourth proportional to 7,329.64, 10,994.38 and 1,782.99 is: 2,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329.64 : 10,994.38 = 1,782.99 : x
  2. Step 2: Convert to fraction form
    7,329.64/10,994.38 = 1,782.99/x
  3. Step 3: Cross multiply
    7,329.64x = 10,994.38 × 1,782.99
  4. Step 4: Simplify right side
    7,329.64x = 19,602,869.60
  5. Step 5: Solve for x
    x = 19,602,869.60/7,329.64
  6. Step 6: Final answer
    x = 2,674.47

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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.