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Finding the Fourth Proportional to 25,709, 38,566.56 and 9,065.58

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Solution

The fourth proportional to 25,709, 38,566.56 and 9,065.58 is: 13,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709 : 38,566.56 = 9,065.58 : x
  2. Step 2: Convert to fraction form
    25,709/38,566.56 = 9,065.58/x
  3. Step 3: Cross multiply
    25,709x = 38,566.56 × 9,065.58
  4. Step 4: Simplify right side
    25,709x = 349,628,235.00
  5. Step 5: Solve for x
    x = 349,628,235.00/25,709
  6. Step 6: Final answer
    x = 13,599.45

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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.