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Finding the Fourth Proportional to 9,862.96, 13,612.64 and 5,829.63

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Solution

The fourth proportional to 9,862.96, 13,612.64 and 5,829.63 is: 8,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.96 : 13,612.64 = 5,829.63 : x
  2. Step 2: Convert to fraction form
    9,862.96/13,612.64 = 5,829.63/x
  3. Step 3: Cross multiply
    9,862.96x = 13,612.64 × 5,829.63
  4. Step 4: Simplify right side
    9,862.96x = 79,356,654.52
  5. Step 5: Solve for x
    x = 79,356,654.52/9,862.96
  6. Step 6: Final answer
    x = 8,045.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.