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Finding the Fourth Proportional to 14,117.16, 19,481.13 and 7,829.40

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Solution

The fourth proportional to 14,117.16, 19,481.13 and 7,829.40 is: 10,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.16 : 19,481.13 = 7,829.40 : x
  2. Step 2: Convert to fraction form
    14,117.16/19,481.13 = 7,829.40/x
  3. Step 3: Cross multiply
    14,117.16x = 19,481.13 × 7,829.40
  4. Step 4: Simplify right side
    14,117.16x = 152,525,559.22
  5. Step 5: Solve for x
    x = 152,525,559.22/14,117.16
  6. Step 6: Final answer
    x = 10,804.27

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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.