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Finding the Fourth Proportional to 9,057.69, 13,564.59 and 4,603.64

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Solution

The fourth proportional to 9,057.69, 13,564.59 and 4,603.64 is: 6,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.69 : 13,564.59 = 4,603.64 : x
  2. Step 2: Convert to fraction form
    9,057.69/13,564.59 = 4,603.64/x
  3. Step 3: Cross multiply
    9,057.69x = 13,564.59 × 4,603.64
  4. Step 4: Simplify right side
    9,057.69x = 62,446,421.28
  5. Step 5: Solve for x
    x = 62,446,421.28/9,057.69
  6. Step 6: Final answer
    x = 6,894.30

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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.