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Finding the Fourth Proportional to 13,798.83, 19,041.78 and 7,666.17

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Solution

The fourth proportional to 13,798.83, 19,041.78 and 7,666.17 is: 10,578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.83 : 19,041.78 = 7,666.17 : x
  2. Step 2: Convert to fraction form
    13,798.83/19,041.78 = 7,666.17/x
  3. Step 3: Cross multiply
    13,798.83x = 19,041.78 × 7,666.17
  4. Step 4: Simplify right side
    13,798.83x = 145,977,522.58
  5. Step 5: Solve for x
    x = 145,977,522.58/13,798.83
  6. Step 6: Final answer
    x = 10,578.98

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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.