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Finding the Fourth Proportional to 10,573.84, 14,592.40 and 6,382

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Solution

The fourth proportional to 10,573.84, 14,592.40 and 6,382 is: 8,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.84 : 14,592.40 = 6,382 : x
  2. Step 2: Convert to fraction form
    10,573.84/14,592.40 = 6,382/x
  3. Step 3: Cross multiply
    10,573.84x = 14,592.40 × 6,382
  4. Step 4: Simplify right side
    10,573.84x = 93,128,696.80
  5. Step 5: Solve for x
    x = 93,128,696.80/10,573.84
  6. Step 6: Final answer
    x = 8,807.46

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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.