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Finding the Fourth Proportional to 14,233.50, 19,643.19 and 7,946.01

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Solution

The fourth proportional to 14,233.50, 19,643.19 and 7,946.01 is: 10,966.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.50 : 19,643.19 = 7,946.01 : x
  2. Step 2: Convert to fraction form
    14,233.50/19,643.19 = 7,946.01/x
  3. Step 3: Cross multiply
    14,233.50x = 19,643.19 × 7,946.01
  4. Step 4: Simplify right side
    14,233.50x = 156,084,984.17
  5. Step 5: Solve for x
    x = 156,084,984.17/14,233.50
  6. Step 6: Final answer
    x = 10,966.03

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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.