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Finding the Fourth Proportional to 14,416.16, 19,894.16 and 9,115.34

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Solution

The fourth proportional to 14,416.16, 19,894.16 and 9,115.34 is: 12,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.16 : 19,894.16 = 9,115.34 : x
  2. Step 2: Convert to fraction form
    14,416.16/19,894.16 = 9,115.34/x
  3. Step 3: Cross multiply
    14,416.16x = 19,894.16 × 9,115.34
  4. Step 4: Simplify right side
    14,416.16x = 181,341,986.84
  5. Step 5: Solve for x
    x = 181,341,986.84/14,416.16
  6. Step 6: Final answer
    x = 12,579.08

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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.