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Finding the Fourth Proportional to 7,518, 10,374.59 and 4,160.96

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Solution

The fourth proportional to 7,518, 10,374.59 and 4,160.96 is: 5,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,518 : 10,374.59 = 4,160.96 : x
  2. Step 2: Convert to fraction form
    7,518/10,374.59 = 4,160.96/x
  3. Step 3: Cross multiply
    7,518x = 10,374.59 × 4,160.96
  4. Step 4: Simplify right side
    7,518x = 43,168,254.01
  5. Step 5: Solve for x
    x = 43,168,254.01/7,518
  6. Step 6: Final answer
    x = 5,741.99

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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.