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Finding the Fourth Proportional to 9,277.76, 12,802.92 and 5,085.74

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Solution

The fourth proportional to 9,277.76, 12,802.92 and 5,085.74 is: 7,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.76 : 12,802.92 = 5,085.74 : x
  2. Step 2: Convert to fraction form
    9,277.76/12,802.92 = 5,085.74/x
  3. Step 3: Cross multiply
    9,277.76x = 12,802.92 × 5,085.74
  4. Step 4: Simplify right side
    9,277.76x = 65,112,322.36
  5. Step 5: Solve for x
    x = 65,112,322.36/9,277.76
  6. Step 6: Final answer
    x = 7,018.11

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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.