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Finding the Fourth Proportional to 7,312.29, 10,972.62 and 7,252.83

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Solution

The fourth proportional to 7,312.29, 10,972.62 and 7,252.83 is: 10,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.29 : 10,972.62 = 7,252.83 : x
  2. Step 2: Convert to fraction form
    7,312.29/10,972.62 = 7,252.83/x
  3. Step 3: Cross multiply
    7,312.29x = 10,972.62 × 7,252.83
  4. Step 4: Simplify right side
    7,312.29x = 79,582,547.51
  5. Step 5: Solve for x
    x = 79,582,547.51/7,312.29
  6. Step 6: Final answer
    x = 10,883.40

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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.