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Finding the Fourth Proportional to 4,869.06, 7,303.60 and 1,406.32

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Solution

The fourth proportional to 4,869.06, 7,303.60 and 1,406.32 is: 2,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.06 : 7,303.60 = 1,406.32 : x
  2. Step 2: Convert to fraction form
    4,869.06/7,303.60 = 1,406.32/x
  3. Step 3: Cross multiply
    4,869.06x = 7,303.60 × 1,406.32
  4. Step 4: Simplify right side
    4,869.06x = 10,271,198.75
  5. Step 5: Solve for x
    x = 10,271,198.75/4,869.06
  6. Step 6: Final answer
    x = 2,109.48

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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.