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Finding the Fourth Proportional to 11,354.95, 15,669.71 and 6,319.08

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Solution

The fourth proportional to 11,354.95, 15,669.71 and 6,319.08 is: 8,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.95 : 15,669.71 = 6,319.08 : x
  2. Step 2: Convert to fraction form
    11,354.95/15,669.71 = 6,319.08/x
  3. Step 3: Cross multiply
    11,354.95x = 15,669.71 × 6,319.08
  4. Step 4: Simplify right side
    11,354.95x = 99,018,166.86
  5. Step 5: Solve for x
    x = 99,018,166.86/11,354.95
  6. Step 6: Final answer
    x = 8,720.27

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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.