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Finding the Fourth Proportional to 25,972.84, 38,955.42 and 9,553

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Solution

The fourth proportional to 25,972.84, 38,955.42 and 9,553 is: 14,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.84 : 38,955.42 = 9,553 : x
  2. Step 2: Convert to fraction form
    25,972.84/38,955.42 = 9,553/x
  3. Step 3: Cross multiply
    25,972.84x = 38,955.42 × 9,553
  4. Step 4: Simplify right side
    25,972.84x = 372,141,127.26
  5. Step 5: Solve for x
    x = 372,141,127.26/25,972.84
  6. Step 6: Final answer
    x = 14,328.09

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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.