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Finding the Fourth Proportional to 10,685.59, 14,746.38 and 5,970.17

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Solution

The fourth proportional to 10,685.59, 14,746.38 and 5,970.17 is: 8,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.59 : 14,746.38 = 5,970.17 : x
  2. Step 2: Convert to fraction form
    10,685.59/14,746.38 = 5,970.17/x
  3. Step 3: Cross multiply
    10,685.59x = 14,746.38 × 5,970.17
  4. Step 4: Simplify right side
    10,685.59x = 88,038,395.48
  5. Step 5: Solve for x
    x = 88,038,395.48/10,685.59
  6. Step 6: Final answer
    x = 8,238.98

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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.