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Finding the Fourth Proportional to 14,035.81, 19,368.71 and 7,746.97

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Solution

The fourth proportional to 14,035.81, 19,368.71 and 7,746.97 is: 10,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.81 : 19,368.71 = 7,746.97 : x
  2. Step 2: Convert to fraction form
    14,035.81/19,368.71 = 7,746.97/x
  3. Step 3: Cross multiply
    14,035.81x = 19,368.71 × 7,746.97
  4. Step 4: Simplify right side
    14,035.81x = 150,048,776.57
  5. Step 5: Solve for x
    x = 150,048,776.57/14,035.81
  6. Step 6: Final answer
    x = 10,690.43

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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.