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Finding the Fourth Proportional to 14,693.52, 22,032 and 4,830.15

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Solution

The fourth proportional to 14,693.52, 22,032 and 4,830.15 is: 7,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.52 : 22,032 = 4,830.15 : x
  2. Step 2: Convert to fraction form
    14,693.52/22,032 = 4,830.15/x
  3. Step 3: Cross multiply
    14,693.52x = 22,032 × 4,830.15
  4. Step 4: Simplify right side
    14,693.52x = 106,417,864.80
  5. Step 5: Solve for x
    x = 106,417,864.80/14,693.52
  6. Step 6: Final answer
    x = 7,242.50

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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.