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Finding the Fourth Proportional to 7,646.60, 11,495.82 and 6,106.28

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Solution

The fourth proportional to 7,646.60, 11,495.82 and 6,106.28 is: 9,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.60 : 11,495.82 = 6,106.28 : x
  2. Step 2: Convert to fraction form
    7,646.60/11,495.82 = 6,106.28/x
  3. Step 3: Cross multiply
    7,646.60x = 11,495.82 × 6,106.28
  4. Step 4: Simplify right side
    7,646.60x = 70,196,695.75
  5. Step 5: Solve for x
    x = 70,196,695.75/7,646.60
  6. Step 6: Final answer
    x = 9,180.12

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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.