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Finding the Fourth Proportional to 7,038.64, 10,558.05 and 1,844.50

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Solution

The fourth proportional to 7,038.64, 10,558.05 and 1,844.50 is: 2,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.64 : 10,558.05 = 1,844.50 : x
  2. Step 2: Convert to fraction form
    7,038.64/10,558.05 = 1,844.50/x
  3. Step 3: Cross multiply
    7,038.64x = 10,558.05 × 1,844.50
  4. Step 4: Simplify right side
    7,038.64x = 19,474,323.23
  5. Step 5: Solve for x
    x = 19,474,323.23/7,038.64
  6. Step 6: Final answer
    x = 2,766.77

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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.