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Finding the Fourth Proportional to 13,794.50, 19,030.50 and 10,798.32

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Solution

The fourth proportional to 13,794.50, 19,030.50 and 10,798.32 is: 14,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.50 : 19,030.50 = 10,798.32 : x
  2. Step 2: Convert to fraction form
    13,794.50/19,030.50 = 10,798.32/x
  3. Step 3: Cross multiply
    13,794.50x = 19,030.50 × 10,798.32
  4. Step 4: Simplify right side
    13,794.50x = 205,497,428.76
  5. Step 5: Solve for x
    x = 205,497,428.76/13,794.50
  6. Step 6: Final answer
    x = 14,897.06

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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.