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Finding the Fourth Proportional to 7,507.64, 10,359.98 and 4,195

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Solution

The fourth proportional to 7,507.64, 10,359.98 and 4,195 is: 5,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.64 : 10,359.98 = 4,195 : x
  2. Step 2: Convert to fraction form
    7,507.64/10,359.98 = 4,195/x
  3. Step 3: Cross multiply
    7,507.64x = 10,359.98 × 4,195
  4. Step 4: Simplify right side
    7,507.64x = 43,460,116.10
  5. Step 5: Solve for x
    x = 43,460,116.10/7,507.64
  6. Step 6: Final answer
    x = 5,788.79

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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.