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Finding the Fourth Proportional to 10,437.84, 14,404.68 and 6,246

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Solution

The fourth proportional to 10,437.84, 14,404.68 and 6,246 is: 8,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.84 : 14,404.68 = 6,246 : x
  2. Step 2: Convert to fraction form
    10,437.84/14,404.68 = 6,246/x
  3. Step 3: Cross multiply
    10,437.84x = 14,404.68 × 6,246
  4. Step 4: Simplify right side
    10,437.84x = 89,971,631.28
  5. Step 5: Solve for x
    x = 89,971,631.28/10,437.84
  6. Step 6: Final answer
    x = 8,619.76

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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.