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Finding the Fourth Proportional to 10,277.66, 15,472.48 and 7,011.32

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Solution

The fourth proportional to 10,277.66, 15,472.48 and 7,011.32 is: 10,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.66 : 15,472.48 = 7,011.32 : x
  2. Step 2: Convert to fraction form
    10,277.66/15,472.48 = 7,011.32/x
  3. Step 3: Cross multiply
    10,277.66x = 15,472.48 × 7,011.32
  4. Step 4: Simplify right side
    10,277.66x = 108,482,508.47
  5. Step 5: Solve for x
    x = 108,482,508.47/10,277.66
  6. Step 6: Final answer
    x = 10,555.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.