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Finding the Fourth Proportional to 14,070.54, 19,417.12 and 7,696.98

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Solution

The fourth proportional to 14,070.54, 19,417.12 and 7,696.98 is: 10,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.54 : 19,417.12 = 7,696.98 : x
  2. Step 2: Convert to fraction form
    14,070.54/19,417.12 = 7,696.98/x
  3. Step 3: Cross multiply
    14,070.54x = 19,417.12 × 7,696.98
  4. Step 4: Simplify right side
    14,070.54x = 149,453,184.30
  5. Step 5: Solve for x
    x = 149,453,184.30/14,070.54
  6. Step 6: Final answer
    x = 10,621.71

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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.