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Finding the Fourth Proportional to 10,460.88, 14,430.83 and 6,210

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Solution

The fourth proportional to 10,460.88, 14,430.83 and 6,210 is: 8,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.88 : 14,430.83 = 6,210 : x
  2. Step 2: Convert to fraction form
    10,460.88/14,430.83 = 6,210/x
  3. Step 3: Cross multiply
    10,460.88x = 14,430.83 × 6,210
  4. Step 4: Simplify right side
    10,460.88x = 89,615,423.25
  5. Step 5: Solve for x
    x = 89,615,423.25/10,460.88
  6. Step 6: Final answer
    x = 8,566.72

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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.