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Finding the Fourth Proportional to 17,582.61, 24,264 and 9,624.84

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Solution

The fourth proportional to 17,582.61, 24,264 and 9,624.84 is: 13,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.61 : 24,264 = 9,624.84 : x
  2. Step 2: Convert to fraction form
    17,582.61/24,264 = 9,624.84/x
  3. Step 3: Cross multiply
    17,582.61x = 24,264 × 9,624.84
  4. Step 4: Simplify right side
    17,582.61x = 233,537,117.76
  5. Step 5: Solve for x
    x = 233,537,117.76/17,582.61
  6. Step 6: Final answer
    x = 13,282.28

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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.