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Finding the Fourth Proportional to 6,470.64, 8,927.28 and 5,291.28

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Solution

The fourth proportional to 6,470.64, 8,927.28 and 5,291.28 is: 7,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.64 : 8,927.28 = 5,291.28 : x
  2. Step 2: Convert to fraction form
    6,470.64/8,927.28 = 5,291.28/x
  3. Step 3: Cross multiply
    6,470.64x = 8,927.28 × 5,291.28
  4. Step 4: Simplify right side
    6,470.64x = 47,236,738.12
  5. Step 5: Solve for x
    x = 47,236,738.12/6,470.64
  6. Step 6: Final answer
    x = 7,300.16

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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.