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Finding the Fourth Proportional to 14,178.16, 19,565.96 and 7,804.58

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Solution

The fourth proportional to 14,178.16, 19,565.96 and 7,804.58 is: 10,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.16 : 19,565.96 = 7,804.58 : x
  2. Step 2: Convert to fraction form
    14,178.16/19,565.96 = 7,804.58/x
  3. Step 3: Cross multiply
    14,178.16x = 19,565.96 × 7,804.58
  4. Step 4: Simplify right side
    14,178.16x = 152,704,100.10
  5. Step 5: Solve for x
    x = 152,704,100.10/14,178.16
  6. Step 6: Final answer
    x = 10,770.38

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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.