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Finding the Fourth Proportional to 14,199.58, 19,595.42 and 7,826.17

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Solution

The fourth proportional to 14,199.58, 19,595.42 and 7,826.17 is: 10,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.58 : 19,595.42 = 7,826.17 : x
  2. Step 2: Convert to fraction form
    14,199.58/19,595.42 = 7,826.17/x
  3. Step 3: Cross multiply
    14,199.58x = 19,595.42 × 7,826.17
  4. Step 4: Simplify right side
    14,199.58x = 153,357,088.14
  5. Step 5: Solve for x
    x = 153,357,088.14/14,199.58
  6. Step 6: Final answer
    x = 10,800.11

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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.