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Finding the Fourth Proportional to 7,670.25, 10,585.01 and 4,313.03

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Solution

The fourth proportional to 7,670.25, 10,585.01 and 4,313.03 is: 5,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.25 : 10,585.01 = 4,313.03 : x
  2. Step 2: Convert to fraction form
    7,670.25/10,585.01 = 4,313.03/x
  3. Step 3: Cross multiply
    7,670.25x = 10,585.01 × 4,313.03
  4. Step 4: Simplify right side
    7,670.25x = 45,653,495.34
  5. Step 5: Solve for x
    x = 45,653,495.34/7,670.25
  6. Step 6: Final answer
    x = 5,952.02

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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.