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Finding the Fourth Proportional to 7,295.64, 10,065 and 5,301.76

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Solution

The fourth proportional to 7,295.64, 10,065 and 5,301.76 is: 7,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.64 : 10,065 = 5,301.76 : x
  2. Step 2: Convert to fraction form
    7,295.64/10,065 = 5,301.76/x
  3. Step 3: Cross multiply
    7,295.64x = 10,065 × 5,301.76
  4. Step 4: Simplify right side
    7,295.64x = 53,362,214.40
  5. Step 5: Solve for x
    x = 53,362,214.40/7,295.64
  6. Step 6: Final answer
    x = 7,314.26

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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.