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Finding the Fourth Proportional to 12,071.16, 16,658.04 and 6,766.08

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Solution

The fourth proportional to 12,071.16, 16,658.04 and 6,766.08 is: 9,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.16 : 16,658.04 = 6,766.08 : x
  2. Step 2: Convert to fraction form
    12,071.16/16,658.04 = 6,766.08/x
  3. Step 3: Cross multiply
    12,071.16x = 16,658.04 × 6,766.08
  4. Step 4: Simplify right side
    12,071.16x = 112,709,631.28
  5. Step 5: Solve for x
    x = 112,709,631.28/12,071.16
  6. Step 6: Final answer
    x = 9,337.10

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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.