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Finding the Fourth Proportional to 9,566.90, 14,353.98 and 8,639.24

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Solution

The fourth proportional to 9,566.90, 14,353.98 and 8,639.24 is: 12,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.90 : 14,353.98 = 8,639.24 : x
  2. Step 2: Convert to fraction form
    9,566.90/14,353.98 = 8,639.24/x
  3. Step 3: Cross multiply
    9,566.90x = 14,353.98 × 8,639.24
  4. Step 4: Simplify right side
    9,566.90x = 124,007,406.41
  5. Step 5: Solve for x
    x = 124,007,406.41/9,566.90
  6. Step 6: Final answer
    x = 12,962.14

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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.