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Finding the Fourth Proportional to 9,483, 14,228.58 and 3,638.88

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Solution

The fourth proportional to 9,483, 14,228.58 and 3,638.88 is: 5,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483 : 14,228.58 = 3,638.88 : x
  2. Step 2: Convert to fraction form
    9,483/14,228.58 = 3,638.88/x
  3. Step 3: Cross multiply
    9,483x = 14,228.58 × 3,638.88
  4. Step 4: Simplify right side
    9,483x = 51,776,095.19
  5. Step 5: Solve for x
    x = 51,776,095.19/9,483
  6. Step 6: Final answer
    x = 5,459.89

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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.