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Finding the Fourth Proportional to 10,573.90, 14,585.38 and 6,801.98

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Solution

The fourth proportional to 10,573.90, 14,585.38 and 6,801.98 is: 9,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.90 : 14,585.38 = 6,801.98 : x
  2. Step 2: Convert to fraction form
    10,573.90/14,585.38 = 6,801.98/x
  3. Step 3: Cross multiply
    10,573.90x = 14,585.38 × 6,801.98
  4. Step 4: Simplify right side
    10,573.90x = 99,209,482.51
  5. Step 5: Solve for x
    x = 99,209,482.51/10,573.90
  6. Step 6: Final answer
    x = 9,382.49

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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.