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Finding the Fourth Proportional to 8,582.90, 12,856.12 and 4,883.22

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Solution

The fourth proportional to 8,582.90, 12,856.12 and 4,883.22 is: 7,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.90 : 12,856.12 = 4,883.22 : x
  2. Step 2: Convert to fraction form
    8,582.90/12,856.12 = 4,883.22/x
  3. Step 3: Cross multiply
    8,582.90x = 12,856.12 × 4,883.22
  4. Step 4: Simplify right side
    8,582.90x = 62,779,250.10
  5. Step 5: Solve for x
    x = 62,779,250.10/8,582.90
  6. Step 6: Final answer
    x = 7,314.46

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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.