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Finding the Fourth Proportional to 10,686.06, 14,746.86 and 6,210

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Solution

The fourth proportional to 10,686.06, 14,746.86 and 6,210 is: 8,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.06 : 14,746.86 = 6,210 : x
  2. Step 2: Convert to fraction form
    10,686.06/14,746.86 = 6,210/x
  3. Step 3: Cross multiply
    10,686.06x = 14,746.86 × 6,210
  4. Step 4: Simplify right side
    10,686.06x = 91,578,000.60
  5. Step 5: Solve for x
    x = 91,578,000.60/10,686.06
  6. Step 6: Final answer
    x = 8,569.86

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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.