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Finding the Fourth Proportional to 5,784.60, 8,676.90 and 5,698.20

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Solution

The fourth proportional to 5,784.60, 8,676.90 and 5,698.20 is: 8,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.60 : 8,676.90 = 5,698.20 : x
  2. Step 2: Convert to fraction form
    5,784.60/8,676.90 = 5,698.20/x
  3. Step 3: Cross multiply
    5,784.60x = 8,676.90 × 5,698.20
  4. Step 4: Simplify right side
    5,784.60x = 49,442,711.58
  5. Step 5: Solve for x
    x = 49,442,711.58/5,784.60
  6. Step 6: Final answer
    x = 8,547.30

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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.