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Finding the Fourth Proportional to 9,925.61, 14,859.63 and 7,727.67

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Solution

The fourth proportional to 9,925.61, 14,859.63 and 7,727.67 is: 11,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.61 : 14,859.63 = 7,727.67 : x
  2. Step 2: Convert to fraction form
    9,925.61/14,859.63 = 7,727.67/x
  3. Step 3: Cross multiply
    9,925.61x = 14,859.63 × 7,727.67
  4. Step 4: Simplify right side
    9,925.61x = 114,830,316.96
  5. Step 5: Solve for x
    x = 114,830,316.96/9,925.61
  6. Step 6: Final answer
    x = 11,569.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.