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Finding the Fourth Proportional to 9,583.02, 14,374.53 and 3,009.78

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Solution

The fourth proportional to 9,583.02, 14,374.53 and 3,009.78 is: 4,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.02 : 14,374.53 = 3,009.78 : x
  2. Step 2: Convert to fraction form
    9,583.02/14,374.53 = 3,009.78/x
  3. Step 3: Cross multiply
    9,583.02x = 14,374.53 × 3,009.78
  4. Step 4: Simplify right side
    9,583.02x = 43,264,172.90
  5. Step 5: Solve for x
    x = 43,264,172.90/9,583.02
  6. Step 6: Final answer
    x = 4,514.67

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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.