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Finding the Fourth Proportional to 9,552.00, 13,154.51 and 6,895.20

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Solution

The fourth proportional to 9,552.00, 13,154.51 and 6,895.20 is: 9,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552.00 : 13,154.51 = 6,895.20 : x
  2. Step 2: Convert to fraction form
    9,552.00/13,154.51 = 6,895.20/x
  3. Step 3: Cross multiply
    9,552.00x = 13,154.51 × 6,895.20
  4. Step 4: Simplify right side
    9,552.00x = 90,702,950.53
  5. Step 5: Solve for x
    x = 90,702,950.53/9,552.00
  6. Step 6: Final answer
    x = 9,495.70

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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.