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Finding the Fourth Proportional to 9,848.64, 13,590.48 and 5,482.80

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Solution

The fourth proportional to 9,848.64, 13,590.48 and 5,482.80 is: 7,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.64 : 13,590.48 = 5,482.80 : x
  2. Step 2: Convert to fraction form
    9,848.64/13,590.48 = 5,482.80/x
  3. Step 3: Cross multiply
    9,848.64x = 13,590.48 × 5,482.80
  4. Step 4: Simplify right side
    9,848.64x = 74,513,883.74
  5. Step 5: Solve for x
    x = 74,513,883.74/9,848.64
  6. Step 6: Final answer
    x = 7,565.91

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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.