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Finding the Fourth Proportional to 7,253.12, 10,011.12 and 4,457

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Solution

The fourth proportional to 7,253.12, 10,011.12 and 4,457 is: 6,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.12 : 10,011.12 = 4,457 : x
  2. Step 2: Convert to fraction form
    7,253.12/10,011.12 = 4,457/x
  3. Step 3: Cross multiply
    7,253.12x = 10,011.12 × 4,457
  4. Step 4: Simplify right side
    7,253.12x = 44,619,561.84
  5. Step 5: Solve for x
    x = 44,619,561.84/7,253.12
  6. Step 6: Final answer
    x = 6,151.77

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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.