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Finding the Fourth Proportional to 6,095.72, 9,142.16 and 1,713.60

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Solution

The fourth proportional to 6,095.72, 9,142.16 and 1,713.60 is: 2,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.72 : 9,142.16 = 1,713.60 : x
  2. Step 2: Convert to fraction form
    6,095.72/9,142.16 = 1,713.60/x
  3. Step 3: Cross multiply
    6,095.72x = 9,142.16 × 1,713.60
  4. Step 4: Simplify right side
    6,095.72x = 15,666,005.38
  5. Step 5: Solve for x
    x = 15,666,005.38/6,095.72
  6. Step 6: Final answer
    x = 2,570.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.