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Finding the Fourth Proportional to 11,646.40, 16,077 and 6,931.12

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Solution

The fourth proportional to 11,646.40, 16,077 and 6,931.12 is: 9,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.40 : 16,077 = 6,931.12 : x
  2. Step 2: Convert to fraction form
    11,646.40/16,077 = 6,931.12/x
  3. Step 3: Cross multiply
    11,646.40x = 16,077 × 6,931.12
  4. Step 4: Simplify right side
    11,646.40x = 111,431,616.24
  5. Step 5: Solve for x
    x = 111,431,616.24/11,646.40
  6. Step 6: Final answer
    x = 9,567.90

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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.