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Finding the Fourth Proportional to 10,498.92, 14,490 and 6,524.34

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Solution

The fourth proportional to 10,498.92, 14,490 and 6,524.34 is: 9,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.92 : 14,490 = 6,524.34 : x
  2. Step 2: Convert to fraction form
    10,498.92/14,490 = 6,524.34/x
  3. Step 3: Cross multiply
    10,498.92x = 14,490 × 6,524.34
  4. Step 4: Simplify right side
    10,498.92x = 94,537,686.60
  5. Step 5: Solve for x
    x = 94,537,686.60/10,498.92
  6. Step 6: Final answer
    x = 9,004.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.