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Finding the Fourth Proportional to 9,569.69, 14,352.65 and 9,094.99

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Solution

The fourth proportional to 9,569.69, 14,352.65 and 9,094.99 is: 13,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.69 : 14,352.65 = 9,094.99 : x
  2. Step 2: Convert to fraction form
    9,569.69/14,352.65 = 9,094.99/x
  3. Step 3: Cross multiply
    9,569.69x = 14,352.65 × 9,094.99
  4. Step 4: Simplify right side
    9,569.69x = 130,537,126.87
  5. Step 5: Solve for x
    x = 130,537,126.87/9,569.69
  6. Step 6: Final answer
    x = 13,640.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.