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Finding the Fourth Proportional to 27,293.84, 40,947 and 9,525.20

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Solution

The fourth proportional to 27,293.84, 40,947 and 9,525.20 is: 14,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293.84 : 40,947 = 9,525.20 : x
  2. Step 2: Convert to fraction form
    27,293.84/40,947 = 9,525.20/x
  3. Step 3: Cross multiply
    27,293.84x = 40,947 × 9,525.20
  4. Step 4: Simplify right side
    27,293.84x = 390,028,364.40
  5. Step 5: Solve for x
    x = 390,028,364.40/27,293.84
  6. Step 6: Final answer
    x = 14,289.98

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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.