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Finding the Fourth Proportional to 14,077.64, 19,418.64 and 9,040.16

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Solution

The fourth proportional to 14,077.64, 19,418.64 and 9,040.16 is: 12,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.64 : 19,418.64 = 9,040.16 : x
  2. Step 2: Convert to fraction form
    14,077.64/19,418.64 = 9,040.16/x
  3. Step 3: Cross multiply
    14,077.64x = 19,418.64 × 9,040.16
  4. Step 4: Simplify right side
    14,077.64x = 175,547,612.58
  5. Step 5: Solve for x
    x = 175,547,612.58/14,077.64
  6. Step 6: Final answer
    x = 12,469.96

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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.