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Finding the Fourth Proportional to 6,496.75, 9,745.03 and 1,566.35

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Solution

The fourth proportional to 6,496.75, 9,745.03 and 1,566.35 is: 2,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.75 : 9,745.03 = 1,566.35 : x
  2. Step 2: Convert to fraction form
    6,496.75/9,745.03 = 1,566.35/x
  3. Step 3: Cross multiply
    6,496.75x = 9,745.03 × 1,566.35
  4. Step 4: Simplify right side
    6,496.75x = 15,264,094.51
  5. Step 5: Solve for x
    x = 15,264,094.51/6,496.75
  6. Step 6: Final answer
    x = 2,349.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.