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Finding the Fourth Proportional to 9,830.84, 14,752.02 and 7,054.52

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Solution

The fourth proportional to 9,830.84, 14,752.02 and 7,054.52 is: 10,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.84 : 14,752.02 = 7,054.52 : x
  2. Step 2: Convert to fraction form
    9,830.84/14,752.02 = 7,054.52/x
  3. Step 3: Cross multiply
    9,830.84x = 14,752.02 × 7,054.52
  4. Step 4: Simplify right side
    9,830.84x = 104,068,420.13
  5. Step 5: Solve for x
    x = 104,068,420.13/9,830.84
  6. Step 6: Final answer
    x = 10,585.91

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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.