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Finding the Fourth Proportional to 9,587.44, 14,363.88 and 8,025.76

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Solution

The fourth proportional to 9,587.44, 14,363.88 and 8,025.76 is: 12,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.44 : 14,363.88 = 8,025.76 : x
  2. Step 2: Convert to fraction form
    9,587.44/14,363.88 = 8,025.76/x
  3. Step 3: Cross multiply
    9,587.44x = 14,363.88 × 8,025.76
  4. Step 4: Simplify right side
    9,587.44x = 115,281,053.55
  5. Step 5: Solve for x
    x = 115,281,053.55/9,587.44
  6. Step 6: Final answer
    x = 12,024.17

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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.