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Finding the Fourth Proportional to 14,117.11, 19,482.50 and 7,829.49

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Solution

The fourth proportional to 14,117.11, 19,482.50 and 7,829.49 is: 10,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.11 : 19,482.50 = 7,829.49 : x
  2. Step 2: Convert to fraction form
    14,117.11/19,482.50 = 7,829.49/x
  3. Step 3: Cross multiply
    14,117.11x = 19,482.50 × 7,829.49
  4. Step 4: Simplify right side
    14,117.11x = 152,538,038.93
  5. Step 5: Solve for x
    x = 152,538,038.93/14,117.11
  6. Step 6: Final answer
    x = 10,805.19

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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.