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Finding the Fourth Proportional to 5,312.64, 7,233.12 and 5,296.16

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Solution

The fourth proportional to 5,312.64, 7,233.12 and 5,296.16 is: 7,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.64 : 7,233.12 = 5,296.16 : x
  2. Step 2: Convert to fraction form
    5,312.64/7,233.12 = 5,296.16/x
  3. Step 3: Cross multiply
    5,312.64x = 7,233.12 × 5,296.16
  4. Step 4: Simplify right side
    5,312.64x = 38,307,760.82
  5. Step 5: Solve for x
    x = 38,307,760.82/5,312.64
  6. Step 6: Final answer
    x = 7,210.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.