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Finding the Fourth Proportional to 5,886.74, 8,830.14 and 1,504.20

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Solution

The fourth proportional to 5,886.74, 8,830.14 and 1,504.20 is: 2,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.74 : 8,830.14 = 1,504.20 : x
  2. Step 2: Convert to fraction form
    5,886.74/8,830.14 = 1,504.20/x
  3. Step 3: Cross multiply
    5,886.74x = 8,830.14 × 1,504.20
  4. Step 4: Simplify right side
    5,886.74x = 13,282,296.59
  5. Step 5: Solve for x
    x = 13,282,296.59/5,886.74
  6. Step 6: Final answer
    x = 2,256.31

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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.