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Finding the Fourth Proportional to 10,848.39, 14,965.95 and 7,070.68

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Solution

The fourth proportional to 10,848.39, 14,965.95 and 7,070.68 is: 9,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.39 : 14,965.95 = 7,070.68 : x
  2. Step 2: Convert to fraction form
    10,848.39/14,965.95 = 7,070.68/x
  3. Step 3: Cross multiply
    10,848.39x = 14,965.95 × 7,070.68
  4. Step 4: Simplify right side
    10,848.39x = 105,819,443.35
  5. Step 5: Solve for x
    x = 105,819,443.35/10,848.39
  6. Step 6: Final answer
    x = 9,754.39

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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.