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Finding the Fourth Proportional to 9,862.34, 13,611.78 and 5,829.00

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Solution

The fourth proportional to 9,862.34, 13,611.78 and 5,829.00 is: 8,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.34 : 13,611.78 = 5,829.00 : x
  2. Step 2: Convert to fraction form
    9,862.34/13,611.78 = 5,829.00/x
  3. Step 3: Cross multiply
    9,862.34x = 13,611.78 × 5,829.00
  4. Step 4: Simplify right side
    9,862.34x = 79,343,014.58
  5. Step 5: Solve for x
    x = 79,343,014.58/9,862.34
  6. Step 6: Final answer
    x = 8,045.05

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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.