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Finding the Fourth Proportional to 11,342.60, 15,653.76 and 6,307.76

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Solution

The fourth proportional to 11,342.60, 15,653.76 and 6,307.76 is: 8,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.60 : 15,653.76 = 6,307.76 : x
  2. Step 2: Convert to fraction form
    11,342.60/15,653.76 = 6,307.76/x
  3. Step 3: Cross multiply
    11,342.60x = 15,653.76 × 6,307.76
  4. Step 4: Simplify right side
    11,342.60x = 98,740,161.18
  5. Step 5: Solve for x
    x = 98,740,161.18/11,342.60
  6. Step 6: Final answer
    x = 8,705.25

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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.