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Finding the Fourth Proportional to 14,005.84, 19,328.16 and 7,718.32

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Solution

The fourth proportional to 14,005.84, 19,328.16 and 7,718.32 is: 10,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.84 : 19,328.16 = 7,718.32 : x
  2. Step 2: Convert to fraction form
    14,005.84/19,328.16 = 7,718.32/x
  3. Step 3: Cross multiply
    14,005.84x = 19,328.16 × 7,718.32
  4. Step 4: Simplify right side
    14,005.84x = 149,180,923.89
  5. Step 5: Solve for x
    x = 149,180,923.89/14,005.84
  6. Step 6: Final answer
    x = 10,651.34

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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.