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Finding the Fourth Proportional to 12,038.61, 16,614.08 and 6,733.11

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Solution

The fourth proportional to 12,038.61, 16,614.08 and 6,733.11 is: 9,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.61 : 16,614.08 = 6,733.11 : x
  2. Step 2: Convert to fraction form
    12,038.61/16,614.08 = 6,733.11/x
  3. Step 3: Cross multiply
    12,038.61x = 16,614.08 × 6,733.11
  4. Step 4: Simplify right side
    12,038.61x = 111,864,428.19
  5. Step 5: Solve for x
    x = 111,864,428.19/12,038.61
  6. Step 6: Final answer
    x = 9,292.14

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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.