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Finding the Fourth Proportional to 11,574.95, 15,973.13 and 6,539.69

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Solution

The fourth proportional to 11,574.95, 15,973.13 and 6,539.69 is: 9,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.95 : 15,973.13 = 6,539.69 : x
  2. Step 2: Convert to fraction form
    11,574.95/15,973.13 = 6,539.69/x
  3. Step 3: Cross multiply
    11,574.95x = 15,973.13 × 6,539.69
  4. Step 4: Simplify right side
    11,574.95x = 104,459,205.97
  5. Step 5: Solve for x
    x = 104,459,205.97/11,574.95
  6. Step 6: Final answer
    x = 9,024.60

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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.