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Finding the Fourth Proportional to 9,765.30, 14,647.95 and 6,266.10

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Solution

The fourth proportional to 9,765.30, 14,647.95 and 6,266.10 is: 9,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.30 : 14,647.95 = 6,266.10 : x
  2. Step 2: Convert to fraction form
    9,765.30/14,647.95 = 6,266.10/x
  3. Step 3: Cross multiply
    9,765.30x = 14,647.95 × 6,266.10
  4. Step 4: Simplify right side
    9,765.30x = 91,785,519.50
  5. Step 5: Solve for x
    x = 91,785,519.50/9,765.30
  6. Step 6: Final answer
    x = 9,399.15

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Half scale
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Double scale
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Similar ratio
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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.