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Finding the Fourth Proportional to 9,924.53, 14,809.23 and 8,875.78

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Solution

The fourth proportional to 9,924.53, 14,809.23 and 8,875.78 is: 13,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.53 : 14,809.23 = 8,875.78 : x
  2. Step 2: Convert to fraction form
    9,924.53/14,809.23 = 8,875.78/x
  3. Step 3: Cross multiply
    9,924.53x = 14,809.23 × 8,875.78
  4. Step 4: Simplify right side
    9,924.53x = 131,443,430.43
  5. Step 5: Solve for x
    x = 131,443,430.43/9,924.53
  6. Step 6: Final answer
    x = 13,244.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.