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Finding the Fourth Proportional to 9,746.42, 14,599.22 and 9,045.95

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Solution

The fourth proportional to 9,746.42, 14,599.22 and 9,045.95 is: 13,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.42 : 14,599.22 = 9,045.95 : x
  2. Step 2: Convert to fraction form
    9,746.42/14,599.22 = 9,045.95/x
  3. Step 3: Cross multiply
    9,746.42x = 14,599.22 × 9,045.95
  4. Step 4: Simplify right side
    9,746.42x = 132,063,695.93
  5. Step 5: Solve for x
    x = 132,063,695.93/9,746.42
  6. Step 6: Final answer
    x = 13,549.98

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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.