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Finding the Fourth Proportional to 6,569.09, 9,848.10 and 2,868.50

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Solution

The fourth proportional to 6,569.09, 9,848.10 and 2,868.50 is: 4,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.09 : 9,848.10 = 2,868.50 : x
  2. Step 2: Convert to fraction form
    6,569.09/9,848.10 = 2,868.50/x
  3. Step 3: Cross multiply
    6,569.09x = 9,848.10 × 2,868.50
  4. Step 4: Simplify right side
    6,569.09x = 28,249,225.61
  5. Step 5: Solve for x
    x = 28,249,225.61/6,569.09
  6. Step 6: Final answer
    x = 4,300.33

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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.