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Finding the Fourth Proportional to 7,802.88, 10,767.36 and 4,657.92

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Solution

The fourth proportional to 7,802.88, 10,767.36 and 4,657.92 is: 6,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.88 : 10,767.36 = 4,657.92 : x
  2. Step 2: Convert to fraction form
    7,802.88/10,767.36 = 4,657.92/x
  3. Step 3: Cross multiply
    7,802.88x = 10,767.36 × 4,657.92
  4. Step 4: Simplify right side
    7,802.88x = 50,153,501.49
  5. Step 5: Solve for x
    x = 50,153,501.49/7,802.88
  6. Step 6: Final answer
    x = 6,427.56

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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.