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Finding the Fourth Proportional to 8,564.24, 12,848.95 and 6,070.24

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Solution

The fourth proportional to 8,564.24, 12,848.95 and 6,070.24 is: 9,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.24 : 12,848.95 = 6,070.24 : x
  2. Step 2: Convert to fraction form
    8,564.24/12,848.95 = 6,070.24/x
  3. Step 3: Cross multiply
    8,564.24x = 12,848.95 × 6,070.24
  4. Step 4: Simplify right side
    8,564.24x = 77,996,210.25
  5. Step 5: Solve for x
    x = 77,996,210.25/8,564.24
  6. Step 6: Final answer
    x = 9,107.20

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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.