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Finding the Fourth Proportional to 7,551.16, 10,421.93 and 5,646.53

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Solution

The fourth proportional to 7,551.16, 10,421.93 and 5,646.53 is: 7,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.16 : 10,421.93 = 5,646.53 : x
  2. Step 2: Convert to fraction form
    7,551.16/10,421.93 = 5,646.53/x
  3. Step 3: Cross multiply
    7,551.16x = 10,421.93 × 5,646.53
  4. Step 4: Simplify right side
    7,551.16x = 58,847,712.17
  5. Step 5: Solve for x
    x = 58,847,712.17/7,551.16
  6. Step 6: Final answer
    x = 7,793.21

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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.