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Finding the Fourth Proportional to 7,158.07, 9,875.44 and 5,274.16

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Solution

The fourth proportional to 7,158.07, 9,875.44 and 5,274.16 is: 7,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.07 : 9,875.44 = 5,274.16 : x
  2. Step 2: Convert to fraction form
    7,158.07/9,875.44 = 5,274.16/x
  3. Step 3: Cross multiply
    7,158.07x = 9,875.44 × 5,274.16
  4. Step 4: Simplify right side
    7,158.07x = 52,084,702.92
  5. Step 5: Solve for x
    x = 52,084,702.92/7,158.07
  6. Step 6: Final answer
    x = 7,276.36

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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.