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Finding the Fourth Proportional to 12,165.71, 16,783.74 and 8,585.87

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Solution

The fourth proportional to 12,165.71, 16,783.74 and 8,585.87 is: 11,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.71 : 16,783.74 = 8,585.87 : x
  2. Step 2: Convert to fraction form
    12,165.71/16,783.74 = 8,585.87/x
  3. Step 3: Cross multiply
    12,165.71x = 16,783.74 × 8,585.87
  4. Step 4: Simplify right side
    12,165.71x = 144,102,925.84
  5. Step 5: Solve for x
    x = 144,102,925.84/12,165.71
  6. Step 6: Final answer
    x = 11,845.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.