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Finding the Fourth Proportional to 6,070.89, 9,106.38 and 1,911.99

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Solution

The fourth proportional to 6,070.89, 9,106.38 and 1,911.99 is: 2,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.89 : 9,106.38 = 1,911.99 : x
  2. Step 2: Convert to fraction form
    6,070.89/9,106.38 = 1,911.99/x
  3. Step 3: Cross multiply
    6,070.89x = 9,106.38 × 1,911.99
  4. Step 4: Simplify right side
    6,070.89x = 17,411,307.50
  5. Step 5: Solve for x
    x = 17,411,307.50/6,070.89
  6. Step 6: Final answer
    x = 2,868.00

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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.