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Finding the Fourth Proportional to 9,813.74, 14,695.98 and 5,862.56

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Solution

The fourth proportional to 9,813.74, 14,695.98 and 5,862.56 is: 8,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.74 : 14,695.98 = 5,862.56 : x
  2. Step 2: Convert to fraction form
    9,813.74/14,695.98 = 5,862.56/x
  3. Step 3: Cross multiply
    9,813.74x = 14,695.98 × 5,862.56
  4. Step 4: Simplify right side
    9,813.74x = 86,156,064.51
  5. Step 5: Solve for x
    x = 86,156,064.51/9,813.74
  6. Step 6: Final answer
    x = 8,779.13

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1.5x scale

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.