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Finding the Fourth Proportional to 11,459.16, 15,813.14 and 6,423.32

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Solution

The fourth proportional to 11,459.16, 15,813.14 and 6,423.32 is: 8,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.16 : 15,813.14 = 6,423.32 : x
  2. Step 2: Convert to fraction form
    11,459.16/15,813.14 = 6,423.32/x
  3. Step 3: Cross multiply
    11,459.16x = 15,813.14 × 6,423.32
  4. Step 4: Simplify right side
    11,459.16x = 101,572,858.42
  5. Step 5: Solve for x
    x = 101,572,858.42/11,459.16
  6. Step 6: Final answer
    x = 8,863.90

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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.