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Finding the Fourth Proportional to 14,349.15, 19,798.74 and 8,378.10

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Solution

The fourth proportional to 14,349.15, 19,798.74 and 8,378.10 is: 11,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.15 : 19,798.74 = 8,378.10 : x
  2. Step 2: Convert to fraction form
    14,349.15/19,798.74 = 8,378.10/x
  3. Step 3: Cross multiply
    14,349.15x = 19,798.74 × 8,378.10
  4. Step 4: Simplify right side
    14,349.15x = 165,875,823.59
  5. Step 5: Solve for x
    x = 165,875,823.59/14,349.15
  6. Step 6: Final answer
    x = 11,559.98

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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.