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Finding the Fourth Proportional to 7,862.16, 10,849.14 and 4,717.74

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Solution

The fourth proportional to 7,862.16, 10,849.14 and 4,717.74 is: 6,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.16 : 10,849.14 = 4,717.74 : x
  2. Step 2: Convert to fraction form
    7,862.16/10,849.14 = 4,717.74/x
  3. Step 3: Cross multiply
    7,862.16x = 10,849.14 × 4,717.74
  4. Step 4: Simplify right side
    7,862.16x = 51,183,421.74
  5. Step 5: Solve for x
    x = 51,183,421.74/7,862.16
  6. Step 6: Final answer
    x = 6,510.10

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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.