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Finding the Fourth Proportional to 7,109.76, 9,815.10 and 4,459.84

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Solution

The fourth proportional to 7,109.76, 9,815.10 and 4,459.84 is: 6,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.76 : 9,815.10 = 4,459.84 : x
  2. Step 2: Convert to fraction form
    7,109.76/9,815.10 = 4,459.84/x
  3. Step 3: Cross multiply
    7,109.76x = 9,815.10 × 4,459.84
  4. Step 4: Simplify right side
    7,109.76x = 43,773,775.58
  5. Step 5: Solve for x
    x = 43,773,775.58/7,109.76
  6. Step 6: Final answer
    x = 6,156.86

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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.