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Finding the Fourth Proportional to 6,574.64, 9,870.60 and 6,031.28

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Solution

The fourth proportional to 6,574.64, 9,870.60 and 6,031.28 is: 9,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.64 : 9,870.60 = 6,031.28 : x
  2. Step 2: Convert to fraction form
    6,574.64/9,870.60 = 6,031.28/x
  3. Step 3: Cross multiply
    6,574.64x = 9,870.60 × 6,031.28
  4. Step 4: Simplify right side
    6,574.64x = 59,532,352.37
  5. Step 5: Solve for x
    x = 59,532,352.37/6,574.64
  6. Step 6: Final answer
    x = 9,054.85

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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.