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Finding the Fourth Proportional to 14,184, 19,574.28 and 7,896.24

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Solution

The fourth proportional to 14,184, 19,574.28 and 7,896.24 is: 10,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 19,574.28 = 7,896.24 : x
  2. Step 2: Convert to fraction form
    14,184/19,574.28 = 7,896.24/x
  3. Step 3: Cross multiply
    14,184x = 19,574.28 × 7,896.24
  4. Step 4: Simplify right side
    14,184x = 154,563,212.71
  5. Step 5: Solve for x
    x = 154,563,212.71/14,184
  6. Step 6: Final answer
    x = 10,897.01

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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.