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Finding the Fourth Proportional to 6,655.04, 9,965.48 and 6,457.95

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Solution

The fourth proportional to 6,655.04, 9,965.48 and 6,457.95 is: 9,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.04 : 9,965.48 = 6,457.95 : x
  2. Step 2: Convert to fraction form
    6,655.04/9,965.48 = 6,457.95/x
  3. Step 3: Cross multiply
    6,655.04x = 9,965.48 × 6,457.95
  4. Step 4: Simplify right side
    6,655.04x = 64,356,603.63
  5. Step 5: Solve for x
    x = 64,356,603.63/6,655.04
  6. Step 6: Final answer
    x = 9,670.36

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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.