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Finding the Fourth Proportional to 9,106.48, 13,656.48 and 6,187.24

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Solution

The fourth proportional to 9,106.48, 13,656.48 and 6,187.24 is: 9,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.48 : 13,656.48 = 6,187.24 : x
  2. Step 2: Convert to fraction form
    9,106.48/13,656.48 = 6,187.24/x
  3. Step 3: Cross multiply
    9,106.48x = 13,656.48 × 6,187.24
  4. Step 4: Simplify right side
    9,106.48x = 84,495,919.32
  5. Step 5: Solve for x
    x = 84,495,919.32/9,106.48
  6. Step 6: Final answer
    x = 9,278.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.