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Finding the Fourth Proportional to 9,885.48, 14,814.54 and 4,948.84

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Solution

The fourth proportional to 9,885.48, 14,814.54 and 4,948.84 is: 7,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.48 : 14,814.54 = 4,948.84 : x
  2. Step 2: Convert to fraction form
    9,885.48/14,814.54 = 4,948.84/x
  3. Step 3: Cross multiply
    9,885.48x = 14,814.54 × 4,948.84
  4. Step 4: Simplify right side
    9,885.48x = 73,314,788.13
  5. Step 5: Solve for x
    x = 73,314,788.13/9,885.48
  6. Step 6: Final answer
    x = 7,416.41

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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.