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Finding the Fourth Proportional to 7,670.63, 10,585.58 and 4,313.25

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Solution

The fourth proportional to 7,670.63, 10,585.58 and 4,313.25 is: 5,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.63 : 10,585.58 = 4,313.25 : x
  2. Step 2: Convert to fraction form
    7,670.63/10,585.58 = 4,313.25/x
  3. Step 3: Cross multiply
    7,670.63x = 10,585.58 × 4,313.25
  4. Step 4: Simplify right side
    7,670.63x = 45,658,231.37
  5. Step 5: Solve for x
    x = 45,658,231.37/7,670.63
  6. Step 6: Final answer
    x = 5,952.34

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Half scale
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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.