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Finding the Fourth Proportional to 7,022.64, 10,533.93 and 1,828.50

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Solution

The fourth proportional to 7,022.64, 10,533.93 and 1,828.50 is: 2,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.64 : 10,533.93 = 1,828.50 : x
  2. Step 2: Convert to fraction form
    7,022.64/10,533.93 = 1,828.50/x
  3. Step 3: Cross multiply
    7,022.64x = 10,533.93 × 1,828.50
  4. Step 4: Simplify right side
    7,022.64x = 19,261,291.01
  5. Step 5: Solve for x
    x = 19,261,291.01/7,022.64
  6. Step 6: Final answer
    x = 2,742.74

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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.