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Finding the Fourth Proportional to 7,259.16, 10,014.02 and 5,662.92

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Solution

The fourth proportional to 7,259.16, 10,014.02 and 5,662.92 is: 7,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.16 : 10,014.02 = 5,662.92 : x
  2. Step 2: Convert to fraction form
    7,259.16/10,014.02 = 5,662.92/x
  3. Step 3: Cross multiply
    7,259.16x = 10,014.02 × 5,662.92
  4. Step 4: Simplify right side
    7,259.16x = 56,708,594.14
  5. Step 5: Solve for x
    x = 56,708,594.14/7,259.16
  6. Step 6: Final answer
    x = 7,812.00

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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.