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Finding the Fourth Proportional to 11,114.40, 15,337.86 and 6,146.40

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Solution

The fourth proportional to 11,114.40, 15,337.86 and 6,146.40 is: 8,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.40 : 15,337.86 = 6,146.40 : x
  2. Step 2: Convert to fraction form
    11,114.40/15,337.86 = 6,146.40/x
  3. Step 3: Cross multiply
    11,114.40x = 15,337.86 × 6,146.40
  4. Step 4: Simplify right side
    11,114.40x = 94,272,622.70
  5. Step 5: Solve for x
    x = 94,272,622.70/11,114.40
  6. Step 6: Final answer
    x = 8,482.03

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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.