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Finding the Fourth Proportional to 14,097.80, 19,455.04 and 7,810.17

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Solution

The fourth proportional to 14,097.80, 19,455.04 and 7,810.17 is: 10,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.80 : 19,455.04 = 7,810.17 : x
  2. Step 2: Convert to fraction form
    14,097.80/19,455.04 = 7,810.17/x
  3. Step 3: Cross multiply
    14,097.80x = 19,455.04 × 7,810.17
  4. Step 4: Simplify right side
    14,097.80x = 151,947,172.07
  5. Step 5: Solve for x
    x = 151,947,172.07/14,097.80
  6. Step 6: Final answer
    x = 10,778.08

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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.