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Finding the Fourth Proportional to 9,104.34, 12,564.93 and 5,569.90

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Solution

The fourth proportional to 9,104.34, 12,564.93 and 5,569.90 is: 7,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.34 : 12,564.93 = 5,569.90 : x
  2. Step 2: Convert to fraction form
    9,104.34/12,564.93 = 5,569.90/x
  3. Step 3: Cross multiply
    9,104.34x = 12,564.93 × 5,569.90
  4. Step 4: Simplify right side
    9,104.34x = 69,985,403.61
  5. Step 5: Solve for x
    x = 69,985,403.61/9,104.34
  6. Step 6: Final answer
    x = 7,687.04

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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.