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Finding the Fourth Proportional to 6,460.48, 8,893.60 and 5,797.10

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Solution

The fourth proportional to 6,460.48, 8,893.60 and 5,797.10 is: 7,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.48 : 8,893.60 = 5,797.10 : x
  2. Step 2: Convert to fraction form
    6,460.48/8,893.60 = 5,797.10/x
  3. Step 3: Cross multiply
    6,460.48x = 8,893.60 × 5,797.10
  4. Step 4: Simplify right side
    6,460.48x = 51,557,088.56
  5. Step 5: Solve for x
    x = 51,557,088.56/6,460.48
  6. Step 6: Final answer
    x = 7,980.38

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Half scale
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Double scale
Find fourth proportional to 6,461.48, 8,894.98 and 5,798.10
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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.