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Finding the Fourth Proportional to 10,483.68, 14,459.76 and 6,702.60

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Solution

The fourth proportional to 10,483.68, 14,459.76 and 6,702.60 is: 9,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.68 : 14,459.76 = 6,702.60 : x
  2. Step 2: Convert to fraction form
    10,483.68/14,459.76 = 6,702.60/x
  3. Step 3: Cross multiply
    10,483.68x = 14,459.76 × 6,702.60
  4. Step 4: Simplify right side
    10,483.68x = 96,917,987.38
  5. Step 5: Solve for x
    x = 96,917,987.38/10,483.68
  6. Step 6: Final answer
    x = 9,244.65

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1.5x scale

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.