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Finding the Fourth Proportional to 15,788.25, 21,789 and 9,075.98

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Solution

The fourth proportional to 15,788.25, 21,789 and 9,075.98 is: 12,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.25 : 21,789 = 9,075.98 : x
  2. Step 2: Convert to fraction form
    15,788.25/21,789 = 9,075.98/x
  3. Step 3: Cross multiply
    15,788.25x = 21,789 × 9,075.98
  4. Step 4: Simplify right side
    15,788.25x = 197,756,582.69
  5. Step 5: Solve for x
    x = 197,756,582.69/15,788.25
  6. Step 6: Final answer
    x = 12,525.55

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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.