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Finding the Fourth Proportional to 6,527, 9,011.40 and 5,032.10

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Solution

The fourth proportional to 6,527, 9,011.40 and 5,032.10 is: 6,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527 : 9,011.40 = 5,032.10 : x
  2. Step 2: Convert to fraction form
    6,527/9,011.40 = 5,032.10/x
  3. Step 3: Cross multiply
    6,527x = 9,011.40 × 5,032.10
  4. Step 4: Simplify right side
    6,527x = 45,346,265.94
  5. Step 5: Solve for x
    x = 45,346,265.94/6,527
  6. Step 6: Final answer
    x = 6,947.49

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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.