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Finding the Fourth Proportional to 14,352.63, 19,808.48 and 8,065

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Solution

The fourth proportional to 14,352.63, 19,808.48 and 8,065 is: 11,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.63 : 19,808.48 = 8,065 : x
  2. Step 2: Convert to fraction form
    14,352.63/19,808.48 = 8,065/x
  3. Step 3: Cross multiply
    14,352.63x = 19,808.48 × 8,065
  4. Step 4: Simplify right side
    14,352.63x = 159,755,391.20
  5. Step 5: Solve for x
    x = 159,755,391.20/14,352.63
  6. Step 6: Final answer
    x = 11,130.74

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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.