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Finding the Fourth Proportional to 14,076.16, 19,416.63 and 9,296.14

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Solution

The fourth proportional to 14,076.16, 19,416.63 and 9,296.14 is: 12,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.16 : 19,416.63 = 9,296.14 : x
  2. Step 2: Convert to fraction form
    14,076.16/19,416.63 = 9,296.14/x
  3. Step 3: Cross multiply
    14,076.16x = 19,416.63 × 9,296.14
  4. Step 4: Simplify right side
    14,076.16x = 180,499,710.81
  5. Step 5: Solve for x
    x = 180,499,710.81/14,076.16
  6. Step 6: Final answer
    x = 12,823.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.