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Finding the Fourth Proportional to 10,070.78, 13,898.78 and 6,094.10

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Solution

The fourth proportional to 10,070.78, 13,898.78 and 6,094.10 is: 8,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.78 : 13,898.78 = 6,094.10 : x
  2. Step 2: Convert to fraction form
    10,070.78/13,898.78 = 6,094.10/x
  3. Step 3: Cross multiply
    10,070.78x = 13,898.78 × 6,094.10
  4. Step 4: Simplify right side
    10,070.78x = 84,700,555.20
  5. Step 5: Solve for x
    x = 84,700,555.20/10,070.78
  6. Step 6: Final answer
    x = 8,410.53

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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.