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Finding the Fourth Proportional to 8,547.60, 12,824.10 and 4,165.50

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Solution

The fourth proportional to 8,547.60, 12,824.10 and 4,165.50 is: 6,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.60 : 12,824.10 = 4,165.50 : x
  2. Step 2: Convert to fraction form
    8,547.60/12,824.10 = 4,165.50/x
  3. Step 3: Cross multiply
    8,547.60x = 12,824.10 × 4,165.50
  4. Step 4: Simplify right side
    8,547.60x = 53,418,788.55
  5. Step 5: Solve for x
    x = 53,418,788.55/8,547.60
  6. Step 6: Final answer
    x = 6,249.57

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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.